Finding the Fourth Proportional to 9,707.48, 14,550.82 and 5,022.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,707.48 : 14,550.82 = 5,022.76 : x
2. Step 2: Convert to fraction form
   9,707.48/14,550.82 = 5,022.76/x
3. Step 3: Cross multiply
   9,707.48x = 14,550.82 × 5,022.76
4. Step 4: Simplify right side
   9,707.48x = 73,085,251.55
5. Step 5: Solve for x
   x = 73,085,251.55/9,707.48
6. Step 6: Final answer
   x = 7,528.76