Finding the Fourth Proportional to 10,613.34, 14,645.66 and 5,897.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,613.34 : 14,645.66 = 5,897.25 : x
2. Step 2: Convert to fraction form
   10,613.34/14,645.66 = 5,897.25/x
3. Step 3: Cross multiply
   10,613.34x = 14,645.66 × 5,897.25
4. Step 4: Simplify right side
   10,613.34x = 86,369,088.95
5. Step 5: Solve for x
   x = 86,369,088.95/10,613.34
6. Step 6: Final answer
   x = 8,137.79