Finding the Fourth Proportional to 9,882.35, 13,637.59 and 5,406.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,882.35 : 13,637.59 = 5,406.02 : x
2. Step 2: Convert to fraction form
   9,882.35/13,637.59 = 5,406.02/x
3. Step 3: Cross multiply
   9,882.35x = 13,637.59 × 5,406.02
4. Step 4: Simplify right side
   9,882.35x = 73,725,002.59
5. Step 5: Solve for x
   x = 73,725,002.59/9,882.35
6. Step 6: Final answer
   x = 7,460.27