Finding the Fourth Proportional to 9,297.76, 12,824.88 and 5,941.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,297.76 : 12,824.88 = 5,941.60 : x
2. Step 2: Convert to fraction form
   9,297.76/12,824.88 = 5,941.60/x
3. Step 3: Cross multiply
   9,297.76x = 12,824.88 × 5,941.60
4. Step 4: Simplify right side
   9,297.76x = 76,200,307.01
5. Step 5: Solve for x
   x = 76,200,307.01/9,297.76
6. Step 6: Final answer
   x = 8,195.56