Finding the Fourth Proportional to 9,643.62, 13,306.04 and 5,868.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,643.62 : 13,306.04 = 5,868.76 : x
2. Step 2: Convert to fraction form
   9,643.62/13,306.04 = 5,868.76/x
3. Step 3: Cross multiply
   9,643.62x = 13,306.04 × 5,868.76
4. Step 4: Simplify right side
   9,643.62x = 78,089,955.31
5. Step 5: Solve for x
   x = 78,089,955.31/9,643.62
6. Step 6: Final answer
   x = 8,097.58