Finding the Fourth Proportional to 12,114.17, 18,166.50 and 5,097.55

Step by Step Solution

1. Step 1: Write the proportion equation
   12,114.17 : 18,166.50 = 5,097.55 : x
2. Step 2: Convert to fraction form
   12,114.17/18,166.50 = 5,097.55/x
3. Step 3: Cross multiply
   12,114.17x = 18,166.50 × 5,097.55
4. Step 4: Simplify right side
   12,114.17x = 92,604,525.75
5. Step 5: Solve for x
   x = 92,604,525.75/12,114.17
6. Step 6: Final answer
   x = 7,644.31