Finding the Fourth Proportional to 9,642.18, 13,306.71 and 5,864.73

Step by Step Solution

1. Step 1: Write the proportion equation
   9,642.18 : 13,306.71 = 5,864.73 : x
2. Step 2: Convert to fraction form
   9,642.18/13,306.71 = 5,864.73/x
3. Step 3: Cross multiply
   9,642.18x = 13,306.71 × 5,864.73
4. Step 4: Simplify right side
   9,642.18x = 78,040,261.34
5. Step 5: Solve for x
   x = 78,040,261.34/9,642.18
6. Step 6: Final answer
   x = 8,093.63