Finding the Fourth Proportional to 10,109.24, 13,950.72 and 5,632.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.24 : 13,950.72 = 5,632.96 : x
2. Step 2: Convert to fraction form
   10,109.24/13,950.72 = 5,632.96/x
3. Step 3: Cross multiply
   10,109.24x = 13,950.72 × 5,632.96
4. Step 4: Simplify right side
   10,109.24x = 78,583,847.73
5. Step 5: Solve for x
   x = 78,583,847.73/10,109.24
6. Step 6: Final answer
   x = 7,773.47