Finding the Fourth Proportional to 9,882.59, 14,825.87 and 3,642.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,882.59 : 14,825.87 = 3,642.63 : x
2. Step 2: Convert to fraction form
   9,882.59/14,825.87 = 3,642.63/x
3. Step 3: Cross multiply
   9,882.59x = 14,825.87 × 3,642.63
4. Step 4: Simplify right side
   9,882.59x = 54,005,171.84
5. Step 5: Solve for x
   x = 54,005,171.84/9,882.59
6. Step 6: Final answer
   x = 5,464.68