Finding the Fourth Proportional to 10,200.13, 14,076.90 and 5,663.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200.13 : 14,076.90 = 5,663.05 : x
2. Step 2: Convert to fraction form
   10,200.13/14,076.90 = 5,663.05/x
3. Step 3: Cross multiply
   10,200.13x = 14,076.90 × 5,663.05
4. Step 4: Simplify right side
   10,200.13x = 79,718,188.55
5. Step 5: Solve for x
   x = 79,718,188.55/10,200.13
6. Step 6: Final answer
   x = 7,815.41