Finding the Fourth Proportional to 9,074.82, 12,523.74 and 5,537

Step by Step Solution

1. Step 1: Write the proportion equation
   9,074.82 : 12,523.74 = 5,537 : x
2. Step 2: Convert to fraction form
   9,074.82/12,523.74 = 5,537/x
3. Step 3: Cross multiply
   9,074.82x = 12,523.74 × 5,537
4. Step 4: Simplify right side
   9,074.82x = 69,343,948.38
5. Step 5: Solve for x
   x = 69,343,948.38/9,074.82
6. Step 6: Final answer
   x = 7,641.36