Finding the Fourth Proportional to 9,074.75, 12,523.77 and 5,538.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,074.75 : 12,523.77 = 5,538.56 : x
2. Step 2: Convert to fraction form
   9,074.75/12,523.77 = 5,538.56/x
3. Step 3: Cross multiply
   9,074.75x = 12,523.77 × 5,538.56
4. Step 4: Simplify right side
   9,074.75x = 69,363,588.95
5. Step 5: Solve for x
   x = 69,363,588.95/9,074.75
6. Step 6: Final answer
   x = 7,643.59