Finding the Fourth Proportional to 9,643.05, 13,307.51 and 5,664.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,643.05 : 13,307.51 = 5,664.23 : x
2. Step 2: Convert to fraction form
   9,643.05/13,307.51 = 5,664.23/x
3. Step 3: Cross multiply
   9,643.05x = 13,307.51 × 5,664.23
4. Step 4: Simplify right side
   9,643.05x = 75,376,702.51
5. Step 5: Solve for x
   x = 75,376,702.51/9,643.05
6. Step 6: Final answer
   x = 7,816.69