Finding the Fourth Proportional to 10,613.10, 14,646.15 and 5,897.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,613.10 : 14,646.15 = 5,897.46 : x
2. Step 2: Convert to fraction form
   10,613.10/14,646.15 = 5,897.46/x
3. Step 3: Cross multiply
   10,613.10x = 14,646.15 × 5,897.46
4. Step 4: Simplify right side
   10,613.10x = 86,375,083.78
5. Step 5: Solve for x
   x = 86,375,083.78/10,613.10
6. Step 6: Final answer
   x = 8,138.53