Finding the Fourth Proportional to 10,658.88, 15,983.46 and 5,114.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,658.88 : 15,983.46 = 5,114.84 : x
2. Step 2: Convert to fraction form
   10,658.88/15,983.46 = 5,114.84/x
3. Step 3: Cross multiply
   10,658.88x = 15,983.46 × 5,114.84
4. Step 4: Simplify right side
   10,658.88x = 81,752,840.55
5. Step 5: Solve for x
   x = 81,752,840.55/10,658.88
6. Step 6: Final answer
   x = 7,669.93