Finding the Fourth Proportional to 7,074.24, 9,752.69 and 5,643.46

Step by Step Solution

1. Step 1: Write the proportion equation
   7,074.24 : 9,752.69 = 5,643.46 : x
2. Step 2: Convert to fraction form
   7,074.24/9,752.69 = 5,643.46/x
3. Step 3: Cross multiply
   7,074.24x = 9,752.69 × 5,643.46
4. Step 4: Simplify right side
   7,074.24x = 55,038,871.48
5. Step 5: Solve for x
   x = 55,038,871.48/7,074.24
6. Step 6: Final answer
   x = 7,780.19