Finding the Fourth Proportional to 9,608.56, 13,263.12 and 5,630.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,608.56 : 13,263.12 = 5,630.96 : x
2. Step 2: Convert to fraction form
   9,608.56/13,263.12 = 5,630.96/x
3. Step 3: Cross multiply
   9,608.56x = 13,263.12 × 5,630.96
4. Step 4: Simplify right side
   9,608.56x = 74,684,098.20
5. Step 5: Solve for x
   x = 74,684,098.20/9,608.56
6. Step 6: Final answer
   x = 7,772.66