Finding the Fourth Proportional to 9,882.56, 14,820.79 and 5,200.03

Step by Step Solution

1. Step 1: Write the proportion equation
   9,882.56 : 14,820.79 = 5,200.03 : x
2. Step 2: Convert to fraction form
   9,882.56/14,820.79 = 5,200.03/x
3. Step 3: Cross multiply
   9,882.56x = 14,820.79 × 5,200.03
4. Step 4: Simplify right side
   9,882.56x = 77,068,502.57
5. Step 5: Solve for x
   x = 77,068,502.57/9,882.56
6. Step 6: Final answer
   x = 7,798.44