Finding the Fourth Proportional to 10,148.10, 14,004.06 and 5,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,148.10 : 14,004.06 = 5,899.50 : x
2. Step 2: Convert to fraction form
   10,148.10/14,004.06 = 5,899.50/x
3. Step 3: Cross multiply
   10,148.10x = 14,004.06 × 5,899.50
4. Step 4: Simplify right side
   10,148.10x = 82,616,951.97
5. Step 5: Solve for x
   x = 82,616,951.97/10,148.10
6. Step 6: Final answer
   x = 8,141.13