Finding the Fourth Proportional to 9,320.78, 12,863.10 and 5,785.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,320.78 : 12,863.10 = 5,785.14 : x
2. Step 2: Convert to fraction form
   9,320.78/12,863.10 = 5,785.14/x
3. Step 3: Cross multiply
   9,320.78x = 12,863.10 × 5,785.14
4. Step 4: Simplify right side
   9,320.78x = 74,414,834.33
5. Step 5: Solve for x
   x = 74,414,834.33/9,320.78
6. Step 6: Final answer
   x = 7,983.76