How to use the highest 1920x resolution that is not out of range?

I found no option to switch to 1920x1080, even though Windows supports it. Xrandr can add a 1920x resolution options at 60Hz to the resolution selector, but when I click apply the GPU or internal monitor rejects it and the resolution just gets forced back to 1024x768@60Hz.

$ xrandr --verboseScreen 0: minimum 320 x 200, current 1024 x 768, maximum 16384 x 16384VGA-1 connected primary 1024x768+0+0 (0x42) normal (normal left inverted right x axis y axis) 0mm x 0mm    Identifier: 0x40    Timestamp:  66227    Subpixel:   unknown    Gamma:      1.0:1.0:1.0    Brightness: 1.0    Clones:        CRTC:       0    CRTCs:      0 1    Transform:  1.000000 0.000000 0.000000                0.000000 1.000000 0.000000                0.000000 0.000000 1.000000               filter:     link-status: Good         supported: Good, Bad    CTM: 2591090 1 7737 0 2017 -2147483648 41175 -2147483648 -1154733 0 44695 -2147483648 45328 0 21316 -2147483648         3727858 1     CONNECTOR_ID: 61         supported: 61    non-desktop: 0         range: (0, 1)  1024x768 (0x42) 65.000MHz -HSync -VSync *current        h: width  1024 start 1048 end 1184 total 1344 skew    0 clock  48.36KHz        v: height  768 start  771 end  777 total  806           clock  60.00Hz  800x600 (0x43) 40.000MHz +HSync +VSync        h: width   800 start  840 end  968 total 1056 skew    0 clock  37.88KHz        v: height  600 start  601 end  605 total  628           clock  60.32Hz  800x600 (0x44) 36.000MHz +HSync +VSync        h: width   800 start  824 end  896 total 1024 skew    0 clock  35.16KHz        v: height  600 start  601 end  603 total  625           clock  56.25Hz  848x480 (0x45) 33.750MHz +HSync +VSync        h: width   848 start  864 end  976 total 1088 skew    0 clock  31.02KHz        v: height  480 start  486 end  494 total  517           clock  60.00Hz  640x480 (0x46) 25.175MHz -HSync -VSync        h: width   640 start  656 end  752 total  800 skew    0 clock  31.47KHz        v: height  480 start  490 end  492 total  525           clock  59.94Hz$ lspci -k | grep -EA3 'VGA|3D|Display'00:02.0 VGA compatible controller: Intel Corporation 4th Generation Core Processor Family Integrated Graphics Controller (rev 06)    Subsystem: Gigabyte Technology Co., Ltd 4th Generation Core Processor Family Integrated Graphics Controller    Kernel driver in use: i915    Kernel modules: i915

• Intel® Core™ i3-4130 CPU @ 3.40GHz × 4
• Mesa Intel® HD Graphics 4400 (HSW GT2)
• Memory: 4 GB