Finding the Fourth Proportional to 10,377.50, 15,553.16 and 5,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.50 : 15,553.16 = 5,633.50 : x
2. Step 2: Convert to fraction form
   10,377.50/15,553.16 = 5,633.50/x
3. Step 3: Cross multiply
   10,377.50x = 15,553.16 × 5,633.50
4. Step 4: Simplify right side
   10,377.50x = 87,618,726.86
5. Step 5: Solve for x
   x = 87,618,726.86/10,377.50
6. Step 6: Final answer
   x = 8,443.14