Finding the Fourth Proportional to 10,613.58, 14,647.20 and 5,897.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,613.58 : 14,647.20 = 5,897.86 : x
2. Step 2: Convert to fraction form
   10,613.58/14,647.20 = 5,897.86/x
3. Step 3: Cross multiply
   10,613.58x = 14,647.20 × 5,897.86
4. Step 4: Simplify right side
   10,613.58x = 86,387,134.99
5. Step 5: Solve for x
   x = 86,387,134.99/10,613.58
6. Step 6: Final answer
   x = 8,139.30