Finding the Fourth Proportional to 9,238.02, 12,749.40 and 5,462.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,238.02 : 12,749.40 = 5,462.40 : x
2. Step 2: Convert to fraction form
   9,238.02/12,749.40 = 5,462.40/x
3. Step 3: Cross multiply
   9,238.02x = 12,749.40 × 5,462.40
4. Step 4: Simplify right side
   9,238.02x = 69,642,370.37
5. Step 5: Solve for x
   x = 69,642,370.37/9,238.02
6. Step 6: Final answer
   x = 7,538.67