Finding the Fourth Proportional to 10,200.09, 14,077.59 and 5,663.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200.09 : 14,077.59 = 5,663.81 : x
2. Step 2: Convert to fraction form
   10,200.09/14,077.59 = 5,663.81/x
3. Step 3: Cross multiply
   10,200.09x = 14,077.59 × 5,663.81
4. Step 4: Simplify right side
   10,200.09x = 79,732,795.02
5. Step 5: Solve for x
   x = 79,732,795.02/10,200.09
6. Step 6: Final answer
   x = 7,816.87