Finding the Fourth Proportional to 9,637.34, 13,297.30 and 5,658.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,637.34 : 13,297.30 = 5,658.26 : x
2. Step 2: Convert to fraction form
   9,637.34/13,297.30 = 5,658.26/x
3. Step 3: Cross multiply
   9,637.34x = 13,297.30 × 5,658.26
4. Step 4: Simplify right side
   9,637.34x = 75,239,500.07
5. Step 5: Solve for x
   x = 75,239,500.07/9,637.34
6. Step 6: Final answer
   x = 7,807.09