Finding the Fourth Proportional to 9,882.96, 13,638.46 and 5,406.70

Step by Step Solution

1. Step 1: Write the proportion equation
   9,882.96 : 13,638.46 = 5,406.70 : x
2. Step 2: Convert to fraction form
   9,882.96/13,638.46 = 5,406.70/x
3. Step 3: Cross multiply
   9,882.96x = 13,638.46 × 5,406.70
4. Step 4: Simplify right side
   9,882.96x = 73,739,061.68
5. Step 5: Solve for x
   x = 73,739,061.68/9,882.96
6. Step 6: Final answer
   x = 7,461.23