Finding the Fourth Proportional to 9,265.83, 12,787.56 and 5,680.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,265.83 : 12,787.56 = 5,680.77 : x
2. Step 2: Convert to fraction form
   9,265.83/12,787.56 = 5,680.77/x
3. Step 3: Cross multiply
   9,265.83x = 12,787.56 × 5,680.77
4. Step 4: Simplify right side
   9,265.83x = 72,643,187.22
5. Step 5: Solve for x
   x = 72,643,187.22/9,265.83
6. Step 6: Final answer
   x = 7,839.90