Finding the Fourth Proportional to 9,643.72, 13,303.92 and 5,664.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,643.72 : 13,303.92 = 5,664.76 : x
2. Step 2: Convert to fraction form
   9,643.72/13,303.92 = 5,664.76/x
3. Step 3: Cross multiply
   9,643.72x = 13,303.92 × 5,664.76
4. Step 4: Simplify right side
   9,643.72x = 75,363,513.86
5. Step 5: Solve for x
   x = 75,363,513.86/9,643.72
6. Step 6: Final answer
   x = 7,814.78