Finding the Fourth Proportional to 1,061.09, 1,463.87 and 765.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.09 : 1,463.87 = 765.71 : x
2. Step 2: Convert to fraction form
   1,061.09/1,463.87 = 765.71/x
3. Step 3: Cross multiply
   1,061.09x = 1,463.87 × 765.71
4. Step 4: Simplify right side
   1,061.09x = 1,120,899.90
5. Step 5: Solve for x
   x = 1,120,899.90/1,061.09
6. Step 6: Final answer
   x = 1,056.37