Finding the Fourth Proportional to 10,613.67, 14,646.33 and 5,897.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,613.67 : 14,646.33 = 5,897.85 : x
2. Step 2: Convert to fraction form
   10,613.67/14,646.33 = 5,897.85/x
3. Step 3: Cross multiply
   10,613.67x = 14,646.33 × 5,897.85
4. Step 4: Simplify right side
   10,613.67x = 86,381,857.39
5. Step 5: Solve for x
   x = 86,381,857.39/10,613.67
6. Step 6: Final answer
   x = 8,138.74