Finding the Fourth Proportional to 9,762.56, 13,471.60 and 5,984.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,762.56 : 13,471.60 = 5,984.20 : x
2. Step 2: Convert to fraction form
   9,762.56/13,471.60 = 5,984.20/x
3. Step 3: Cross multiply
   9,762.56x = 13,471.60 × 5,984.20
4. Step 4: Simplify right side
   9,762.56x = 80,616,748.72
5. Step 5: Solve for x
   x = 80,616,748.72/9,762.56
6. Step 6: Final answer
   x = 8,257.75