Finding the Fourth Proportional to 9,885.60, 13,642.06 and 5,409.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,885.60 : 13,642.06 = 5,409.27 : x
2. Step 2: Convert to fraction form
   9,885.60/13,642.06 = 5,409.27/x
3. Step 3: Cross multiply
   9,885.60x = 13,642.06 × 5,409.27
4. Step 4: Simplify right side
   9,885.60x = 73,793,585.90
5. Step 5: Solve for x
   x = 73,793,585.90/9,885.60
6. Step 6: Final answer
   x = 7,464.76