Finding the Fourth Proportional to 1,061.14, 1,463.70 and 766.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.14 : 1,463.70 = 766.84 : x
2. Step 2: Convert to fraction form
   1,061.14/1,463.70 = 766.84/x
3. Step 3: Cross multiply
   1,061.14x = 1,463.70 × 766.84
4. Step 4: Simplify right side
   1,061.14x = 1,122,423.71
5. Step 5: Solve for x
   x = 1,122,423.71/1,061.14
6. Step 6: Final answer
   x = 1,057.75