Finding the Fourth Proportional to 9,694.80, 14,549.76 and 5,022.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,694.80 : 14,549.76 = 5,022.72 : x
2. Step 2: Convert to fraction form
   9,694.80/14,549.76 = 5,022.72/x
3. Step 3: Cross multiply
   9,694.80x = 14,549.76 × 5,022.72
4. Step 4: Simplify right side
   9,694.80x = 73,079,370.55
5. Step 5: Solve for x
   x = 73,079,370.55/9,694.80
6. Step 6: Final answer
   x = 7,538.00