Finding the Fourth Proportional to 9,562.74, 13,196.61 and 5,584.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,562.74 : 13,196.61 = 5,584.61 : x
2. Step 2: Convert to fraction form
   9,562.74/13,196.61 = 5,584.61/x
3. Step 3: Cross multiply
   9,562.74x = 13,196.61 × 5,584.61
4. Step 4: Simplify right side
   9,562.74x = 73,697,854.19
5. Step 5: Solve for x
   x = 73,697,854.19/9,562.74
6. Step 6: Final answer
   x = 7,706.77