Finding the Fourth Proportional to 9,785.46, 14,641.77 and 5,838.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,785.46 : 14,641.77 = 5,838.83 : x
2. Step 2: Convert to fraction form
   9,785.46/14,641.77 = 5,838.83/x
3. Step 3: Cross multiply
   9,785.46x = 14,641.77 × 5,838.83
4. Step 4: Simplify right side
   9,785.46x = 85,490,732.72
5. Step 5: Solve for x
   x = 85,490,732.72/9,785.46
6. Step 6: Final answer
   x = 8,736.51