Finding the Fourth Proportional to 9,819.74, 13,551.24 and 5,627.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,819.74 : 13,551.24 = 5,627.96 : x
2. Step 2: Convert to fraction form
   9,819.74/13,551.24 = 5,627.96/x
3. Step 3: Cross multiply
   9,819.74x = 13,551.24 × 5,627.96
4. Step 4: Simplify right side
   9,819.74x = 76,265,836.67
5. Step 5: Solve for x
   x = 76,265,836.67/9,819.74
6. Step 6: Final answer
   x = 7,766.58