Finding the Fourth Proportional to 9,664.97, 13,337.43 and 5,686.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664.97 : 13,337.43 = 5,686.34 : x
2. Step 2: Convert to fraction form
   9,664.97/13,337.43 = 5,686.34/x
3. Step 3: Cross multiply
   9,664.97x = 13,337.43 × 5,686.34
4. Step 4: Simplify right side
   9,664.97x = 75,841,159.25
5. Step 5: Solve for x
   x = 75,841,159.25/9,664.97
6. Step 6: Final answer
   x = 7,847.01