Finding the Fourth Proportional to 9,882.61, 14,824.15 and 3,878.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,882.61 : 14,824.15 = 3,878.43 : x
2. Step 2: Convert to fraction form
   9,882.61/14,824.15 = 3,878.43/x
3. Step 3: Cross multiply
   9,882.61x = 14,824.15 × 3,878.43
4. Step 4: Simplify right side
   9,882.61x = 57,494,437.78
5. Step 5: Solve for x
   x = 57,494,437.78/9,882.61
6. Step 6: Final answer
   x = 5,817.74