Finding the Fourth Proportional to 9,662.98, 13,335.16 and 5,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,662.98 : 13,335.16 = 5,471.50 : x
2. Step 2: Convert to fraction form
   9,662.98/13,335.16 = 5,471.50/x
3. Step 3: Cross multiply
   9,662.98x = 13,335.16 × 5,471.50
4. Step 4: Simplify right side
   9,662.98x = 72,963,327.94
5. Step 5: Solve for x
   x = 72,963,327.94/9,662.98
6. Step 6: Final answer
   x = 7,550.81