Finding the Fourth Proportional to 9,642.06, 13,306.05 and 5,864.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,642.06 : 13,306.05 = 5,864.88 : x
2. Step 2: Convert to fraction form
   9,642.06/13,306.05 = 5,864.88/x
3. Step 3: Cross multiply
   9,642.06x = 13,306.05 × 5,864.88
4. Step 4: Simplify right side
   9,642.06x = 78,038,386.52
5. Step 5: Solve for x
   x = 78,038,386.52/9,642.06
6. Step 6: Final answer
   x = 8,093.54