Finding the Fourth Proportional to 10,613.40, 14,646.06 and 5,897.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,613.40 : 14,646.06 = 5,897.94 : x
2. Step 2: Convert to fraction form
   10,613.40/14,646.06 = 5,897.94/x
3. Step 3: Cross multiply
   10,613.40x = 14,646.06 × 5,897.94
4. Step 4: Simplify right side
   10,613.40x = 86,381,583.12
5. Step 5: Solve for x
   x = 86,381,583.12/10,613.40
6. Step 6: Final answer
   x = 8,138.92