Finding the Fourth Proportional to 9,233.20, 12,742.78 and 5,457.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,233.20 : 12,742.78 = 5,457.58 : x
2. Step 2: Convert to fraction form
   9,233.20/12,742.78 = 5,457.58/x
3. Step 3: Cross multiply
   9,233.20x = 12,742.78 × 5,457.58
4. Step 4: Simplify right side
   9,233.20x = 69,544,741.27
5. Step 5: Solve for x
   x = 69,544,741.27/9,233.20
6. Step 6: Final answer
   x = 7,532.03