Finding the Fourth Proportional to 9,442.42, 13,029.51 and 5,462.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,442.42 : 13,029.51 = 5,462.78 : x
2. Step 2: Convert to fraction form
   9,442.42/13,029.51 = 5,462.78/x
3. Step 3: Cross multiply
   9,442.42x = 13,029.51 × 5,462.78
4. Step 4: Simplify right side
   9,442.42x = 71,177,379.21
5. Step 5: Solve for x
   x = 71,177,379.21/9,442.42
6. Step 6: Final answer
   x = 7,538.05