Finding the Fourth Proportional to 1,807.25, 2,711.10 and 766.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,807.25 : 2,711.10 = 766.59 : x
2. Step 2: Convert to fraction form
   1,807.25/2,711.10 = 766.59/x
3. Step 3: Cross multiply
   1,807.25x = 2,711.10 × 766.59
4. Step 4: Simplify right side
   1,807.25x = 2,078,302.15
5. Step 5: Solve for x
   x = 2,078,302.15/1,807.25
6. Step 6: Final answer
   x = 1,149.98