Finding the Fourth Proportional to 9,882.81, 13,638.20 and 5,406.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,882.81 : 13,638.20 = 5,406.60 : x
2. Step 2: Convert to fraction form
   9,882.81/13,638.20 = 5,406.60/x
3. Step 3: Cross multiply
   9,882.81x = 13,638.20 × 5,406.60
4. Step 4: Simplify right side
   9,882.81x = 73,736,254.72
5. Step 5: Solve for x
   x = 73,736,254.72/9,882.81
6. Step 6: Final answer
   x = 7,461.06