Finding the Fourth Proportional to 9,268.29, 12,790.50 and 5,634.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,268.29 : 12,790.50 = 5,634.33 : x
2. Step 2: Convert to fraction form
   9,268.29/12,790.50 = 5,634.33/x
3. Step 3: Cross multiply
   9,268.29x = 12,790.50 × 5,634.33
4. Step 4: Simplify right side
   9,268.29x = 72,065,897.87
5. Step 5: Solve for x
   x = 72,065,897.87/9,268.29
6. Step 6: Final answer
   x = 7,775.53