Finding the Fourth Proportional to 14,558.56, 21,838.98 and 5,200.60

Step by Step Solution

1. Step 1: Write the proportion equation
   14,558.56 : 21,838.98 = 5,200.60 : x
2. Step 2: Convert to fraction form
   14,558.56/21,838.98 = 5,200.60/x
3. Step 3: Cross multiply
   14,558.56x = 21,838.98 × 5,200.60
4. Step 4: Simplify right side
   14,558.56x = 113,575,799.39
5. Step 5: Solve for x
   x = 113,575,799.39/14,558.56
6. Step 6: Final answer
   x = 7,801.31