Finding the Fourth Proportional to 9,362.26, 12,921.57 and 5,585.66

Step by Step Solution

1. Step 1: Write the proportion equation
   9,362.26 : 12,921.57 = 5,585.66 : x
2. Step 2: Convert to fraction form
   9,362.26/12,921.57 = 5,585.66/x
3. Step 3: Cross multiply
   9,362.26x = 12,921.57 × 5,585.66
4. Step 4: Simplify right side
   9,362.26x = 72,175,496.69
5. Step 5: Solve for x
   x = 72,175,496.69/9,362.26
6. Step 6: Final answer
   x = 7,709.20