Finding the Fourth Proportional to 10,108.50, 13,950.30 and 5,632.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,108.50 : 13,950.30 = 5,632.09 : x
2. Step 2: Convert to fraction form
   10,108.50/13,950.30 = 5,632.09/x
3. Step 3: Cross multiply
   10,108.50x = 13,950.30 × 5,632.09
4. Step 4: Simplify right side
   10,108.50x = 78,569,345.13
5. Step 5: Solve for x
   x = 78,569,345.13/10,108.50
6. Step 6: Final answer
   x = 7,772.60