Finding the Fourth Proportional to 9,884.88, 13,641.30 and 5,409.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,884.88 : 13,641.30 = 5,409.02 : x
2. Step 2: Convert to fraction form
   9,884.88/13,641.30 = 5,409.02/x
3. Step 3: Cross multiply
   9,884.88x = 13,641.30 × 5,409.02
4. Step 4: Simplify right side
   9,884.88x = 73,786,064.53
5. Step 5: Solve for x
   x = 73,786,064.53/9,884.88
6. Step 6: Final answer
   x = 7,464.54