Finding the Fourth Proportional to 9,291.42, 12,822.07 and 5,042.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,291.42 : 12,822.07 = 5,042.47 : x
2. Step 2: Convert to fraction form
   9,291.42/12,822.07 = 5,042.47/x
3. Step 3: Cross multiply
   9,291.42x = 12,822.07 × 5,042.47
4. Step 4: Simplify right side
   9,291.42x = 64,654,903.31
5. Step 5: Solve for x
   x = 64,654,903.31/9,291.42
6. Step 6: Final answer
   x = 6,958.56