Finding the Fourth Proportional to 9,811.60, 13,540.38 and 5,562.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,811.60 : 13,540.38 = 5,562.61 : x
2. Step 2: Convert to fraction form
   9,811.60/13,540.38 = 5,562.61/x
3. Step 3: Cross multiply
   9,811.60x = 13,540.38 × 5,562.61
4. Step 4: Simplify right side
   9,811.60x = 75,319,863.43
5. Step 5: Solve for x
   x = 75,319,863.43/9,811.60
6. Step 6: Final answer
   x = 7,676.61