Finding the Fourth Proportional to 9,640.56, 13,303.98 and 5,863.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,640.56 : 13,303.98 = 5,863.38 : x
2. Step 2: Convert to fraction form
   9,640.56/13,303.98 = 5,863.38/x
3. Step 3: Cross multiply
   9,640.56x = 13,303.98 × 5,863.38
4. Step 4: Simplify right side
   9,640.56x = 78,006,290.25
5. Step 5: Solve for x
   x = 78,006,290.25/9,640.56
6. Step 6: Final answer
   x = 8,091.47