Finding the Fourth Proportional to 9,643.31, 13,307.65 and 5,664.79

Step by Step Solution

1. Step 1: Write the proportion equation
   9,643.31 : 13,307.65 = 5,664.79 : x
2. Step 2: Convert to fraction form
   9,643.31/13,307.65 = 5,664.79/x
3. Step 3: Cross multiply
   9,643.31x = 13,307.65 × 5,664.79
4. Step 4: Simplify right side
   9,643.31x = 75,385,042.64
5. Step 5: Solve for x
   x = 75,385,042.64/9,643.31
6. Step 6: Final answer
   x = 7,817.34