Finding the Fourth Proportional to 10,648.17, 14,697 and 6,174.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,648.17 : 14,697 = 6,174.38 : x
2. Step 2: Convert to fraction form
   10,648.17/14,697 = 6,174.38/x
3. Step 3: Cross multiply
   10,648.17x = 14,697 × 6,174.38
4. Step 4: Simplify right side
   10,648.17x = 90,744,789.38
5. Step 5: Solve for x
   x = 90,744,789.38/10,648.17
6. Step 6: Final answer
   x = 8,522.10