Finding the Fourth Proportional to 14,561.42, 21,840.98 and 5,200.46

Step by Step Solution

1. Step 1: Write the proportion equation
   14,561.42 : 21,840.98 = 5,200.46 : x
2. Step 2: Convert to fraction form
   14,561.42/21,840.98 = 5,200.46/x
3. Step 3: Cross multiply
   14,561.42x = 21,840.98 × 5,200.46
4. Step 4: Simplify right side
   14,561.42x = 113,583,181.20
5. Step 5: Solve for x
   x = 113,583,181.20/14,561.42
6. Step 6: Final answer
   x = 7,800.28