Finding the Fourth Proportional to 10,034.46, 13,847.52 and 5,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,034.46 : 13,847.52 = 5,785.50 : x
2. Step 2: Convert to fraction form
   10,034.46/13,847.52 = 5,785.50/x
3. Step 3: Cross multiply
   10,034.46x = 13,847.52 × 5,785.50
4. Step 4: Simplify right side
   10,034.46x = 80,114,826.96
5. Step 5: Solve for x
   x = 80,114,826.96/10,034.46
6. Step 6: Final answer
   x = 7,983.97