Finding the Fourth Proportional to 10,597.59, 14,624.85 and 5,882.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,597.59 : 14,624.85 = 5,882.19 : x
2. Step 2: Convert to fraction form
   10,597.59/14,624.85 = 5,882.19/x
3. Step 3: Cross multiply
   10,597.59x = 14,624.85 × 5,882.19
4. Step 4: Simplify right side
   10,597.59x = 86,026,146.42
5. Step 5: Solve for x
   x = 86,026,146.42/10,597.59
6. Step 6: Final answer
   x = 8,117.52