Finding the Fourth Proportional to 2,051.86, 2,831.64 and 1,422.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,051.86 : 2,831.64 = 1,422.52 : x
2. Step 2: Convert to fraction form
   2,051.86/2,831.64 = 1,422.52/x
3. Step 3: Cross multiply
   2,051.86x = 2,831.64 × 1,422.52
4. Step 4: Simplify right side
   2,051.86x = 4,028,064.53
5. Step 5: Solve for x
   x = 4,028,064.53/2,051.86
6. Step 6: Final answer
   x = 1,963.13