Finding the Fourth Proportional to 9,641.64, 13,309.78 and 5,663.00

Step by Step Solution

1. Step 1: Write the proportion equation
   9,641.64 : 13,309.78 = 5,663.00 : x
2. Step 2: Convert to fraction form
   9,641.64/13,309.78 = 5,663.00/x
3. Step 3: Cross multiply
   9,641.64x = 13,309.78 × 5,663.00
4. Step 4: Simplify right side
   9,641.64x = 75,373,303.26
5. Step 5: Solve for x
   x = 75,373,303.26/9,641.64
6. Step 6: Final answer
   x = 7,817.48