Finding the Fourth Proportional to 9,074.16, 12,523.50 and 5,536.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,074.16 : 12,523.50 = 5,536.62 : x
2. Step 2: Convert to fraction form
   9,074.16/12,523.50 = 5,536.62/x
3. Step 3: Cross multiply
   9,074.16x = 12,523.50 × 5,536.62
4. Step 4: Simplify right side
   9,074.16x = 69,337,860.57
5. Step 5: Solve for x
   x = 69,337,860.57/9,074.16
6. Step 6: Final answer
   x = 7,641.24