Finding the Fourth Proportional to 1,061.10, 1,463.77 and 765.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.10 : 1,463.77 = 765.86 : x
2. Step 2: Convert to fraction form
   1,061.10/1,463.77 = 765.86/x
3. Step 3: Cross multiply
   1,061.10x = 1,463.77 × 765.86
4. Step 4: Simplify right side
   1,061.10x = 1,121,036.53
5. Step 5: Solve for x
   x = 1,121,036.53/1,061.10
6. Step 6: Final answer
   x = 1,056.49