Finding the Fourth Proportional to 9,882.98, 13,638.31 and 5,406.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,882.98 : 13,638.31 = 5,406.71 : x
2. Step 2: Convert to fraction form
   9,882.98/13,638.31 = 5,406.71/x
3. Step 3: Cross multiply
   9,882.98x = 13,638.31 × 5,406.71
4. Step 4: Simplify right side
   9,882.98x = 73,738,387.06
5. Step 5: Solve for x
   x = 73,738,387.06/9,882.98
6. Step 6: Final answer
   x = 7,461.15