Finding the Fourth Proportional to 9,885.86, 13,642.48 and 5,409.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,885.86 : 13,642.48 = 5,409.61 : x
2. Step 2: Convert to fraction form
   9,885.86/13,642.48 = 5,409.61/x
3. Step 3: Cross multiply
   9,885.86x = 13,642.48 × 5,409.61
4. Step 4: Simplify right side
   9,885.86x = 73,800,428.02
5. Step 5: Solve for x
   x = 73,800,428.02/9,885.86
6. Step 6: Final answer
   x = 7,465.25