Finding the Fourth Proportional to 14,562.73, 21,838.69 and 5,200.24

Step by Step Solution

1. Step 1: Write the proportion equation
   14,562.73 : 21,838.69 = 5,200.24 : x
2. Step 2: Convert to fraction form
   14,562.73/21,838.69 = 5,200.24/x
3. Step 3: Cross multiply
   14,562.73x = 21,838.69 × 5,200.24
4. Step 4: Simplify right side
   14,562.73x = 113,566,429.29
5. Step 5: Solve for x
   x = 113,566,429.29/14,562.73
6. Step 6: Final answer
   x = 7,798.43