Finding the Fourth Proportional to 9,641.16, 13,307.58 and 5,662.44

Step by Step Solution

1. Step 1: Write the proportion equation
   9,641.16 : 13,307.58 = 5,662.44 : x
2. Step 2: Convert to fraction form
   9,641.16/13,307.58 = 5,662.44/x
3. Step 3: Cross multiply
   9,641.16x = 13,307.58 × 5,662.44
4. Step 4: Simplify right side
   9,641.16x = 75,353,373.30
5. Step 5: Solve for x
   x = 75,353,373.30/9,641.16
6. Step 6: Final answer
   x = 7,815.80