Finding the Fourth Proportional to 9,641.40, 13,305.23 and 5,663.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,641.40 : 13,305.23 = 5,663.78 : x
2. Step 2: Convert to fraction form
   9,641.40/13,305.23 = 5,663.78/x
3. Step 3: Cross multiply
   9,641.40x = 13,305.23 × 5,663.78
4. Step 4: Simplify right side
   9,641.40x = 75,357,895.57
5. Step 5: Solve for x
   x = 75,357,895.57/9,641.40
6. Step 6: Final answer
   x = 7,816.07