Finding the Fourth Proportional to 14,978.22, 22,460.18 and 5,114.85

Step by Step Solution

1. Step 1: Write the proportion equation
   14,978.22 : 22,460.18 = 5,114.85 : x
2. Step 2: Convert to fraction form
   14,978.22/22,460.18 = 5,114.85/x
3. Step 3: Cross multiply
   14,978.22x = 22,460.18 × 5,114.85
4. Step 4: Simplify right side
   14,978.22x = 114,880,426.10
5. Step 5: Solve for x
   x = 114,880,426.10/14,978.22
6. Step 6: Final answer
   x = 7,669.83