Finding the Fourth Proportional to 10,613.14, 14,646.33 and 5,897.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,613.14 : 14,646.33 = 5,897.86 : x
2. Step 2: Convert to fraction form
   10,613.14/14,646.33 = 5,897.86/x
3. Step 3: Cross multiply
   10,613.14x = 14,646.33 × 5,897.86
4. Step 4: Simplify right side
   10,613.14x = 86,382,003.85
5. Step 5: Solve for x
   x = 86,382,003.85/10,613.14
6. Step 6: Final answer
   x = 8,139.16