Finding the Fourth Proportional to 10,596.33, 14,624.69 and 5,882.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596.33 : 14,624.69 = 5,882.13 : x
2. Step 2: Convert to fraction form
   10,596.33/14,624.69 = 5,882.13/x
3. Step 3: Cross multiply
   10,596.33x = 14,624.69 × 5,882.13
4. Step 4: Simplify right side
   10,596.33x = 86,024,298.38
5. Step 5: Solve for x
   x = 86,024,298.38/10,596.33
6. Step 6: Final answer
   x = 8,118.31