Finding the Fourth Proportional to 1,422.96, 2,131.38 and 772.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,422.96 : 2,131.38 = 772.32 : x
2. Step 2: Convert to fraction form
   1,422.96/2,131.38 = 772.32/x
3. Step 3: Cross multiply
   1,422.96x = 2,131.38 × 772.32
4. Step 4: Simplify right side
   1,422.96x = 1,646,107.40
5. Step 5: Solve for x
   x = 1,646,107.40/1,422.96
6. Step 6: Final answer
   x = 1,156.82