Finding the Fourth Proportional to 9,627.42, 13,280.88 and 5,645.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,627.42 : 13,280.88 = 5,645.88 : x
2. Step 2: Convert to fraction form
   9,627.42/13,280.88 = 5,645.88/x
3. Step 3: Cross multiply
   9,627.42x = 13,280.88 × 5,645.88
4. Step 4: Simplify right side
   9,627.42x = 74,982,254.77
5. Step 5: Solve for x
   x = 74,982,254.77/9,627.42
6. Step 6: Final answer
   x = 7,788.41