Finding the Fourth Proportional to 6,575.29, 9,074.42 and 3,742.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,575.29 : 9,074.42 = 3,742.78 : x
2. Step 2: Convert to fraction form
   6,575.29/9,074.42 = 3,742.78/x
3. Step 3: Cross multiply
   6,575.29x = 9,074.42 × 3,742.78
4. Step 4: Simplify right side
   6,575.29x = 33,963,557.69
5. Step 5: Solve for x
   x = 33,963,557.69/6,575.29
6. Step 6: Final answer
   x = 5,165.33