Finding the Fourth Proportional to 9,141.15, 12,614.85 and 5,785.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,141.15 : 12,614.85 = 5,785.41 : x
2. Step 2: Convert to fraction form
   9,141.15/12,614.85 = 5,785.41/x
3. Step 3: Cross multiply
   9,141.15x = 12,614.85 × 5,785.41
4. Step 4: Simplify right side
   9,141.15x = 72,982,079.34
5. Step 5: Solve for x
   x = 72,982,079.34/9,141.15
6. Step 6: Final answer
   x = 7,983.91