Finding the Fourth Proportional to 14,557.60, 21,839.28 and 5,200.48

Step by Step Solution

1. Step 1: Write the proportion equation
   14,557.60 : 21,839.28 = 5,200.48 : x
2. Step 2: Convert to fraction form
   14,557.60/21,839.28 = 5,200.48/x
3. Step 3: Cross multiply
   14,557.60x = 21,839.28 × 5,200.48
4. Step 4: Simplify right side
   14,557.60x = 113,574,738.85
5. Step 5: Solve for x
   x = 113,574,738.85/14,557.60
6. Step 6: Final answer
   x = 7,801.75