Finding the Fourth Proportional to 10,200.75, 14,077.13 and 5,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200.75 : 14,077.13 = 5,663.50 : x
2. Step 2: Convert to fraction form
   10,200.75/14,077.13 = 5,663.50/x
3. Step 3: Cross multiply
   10,200.75x = 14,077.13 × 5,663.50
4. Step 4: Simplify right side
   10,200.75x = 79,725,839.91
5. Step 5: Solve for x
   x = 79,725,839.91/10,200.75
6. Step 6: Final answer
   x = 7,815.69