Finding the Fourth Proportional to 9,641.77, 13,305.83 and 5,865.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,641.77 : 13,305.83 = 5,865.10 : x
2. Step 2: Convert to fraction form
   9,641.77/13,305.83 = 5,865.10/x
3. Step 3: Cross multiply
   9,641.77x = 13,305.83 × 5,865.10
4. Step 4: Simplify right side
   9,641.77x = 78,039,960.94
5. Step 5: Solve for x
   x = 78,039,960.94/9,641.77
6. Step 6: Final answer
   x = 8,093.95