Finding the Fourth Proportional to 1,422.96, 2,132.10 and 771.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,422.96 : 2,132.10 = 771.72 : x
2. Step 2: Convert to fraction form
   1,422.96/2,132.10 = 771.72/x
3. Step 3: Cross multiply
   1,422.96x = 2,132.10 × 771.72
4. Step 4: Simplify right side
   1,422.96x = 1,645,384.21
5. Step 5: Solve for x
   x = 1,645,384.21/1,422.96
6. Step 6: Final answer
   x = 1,156.31