Finding the Fourth Proportional to 9,085.56, 12,546.27 and 5,734.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.56 : 12,546.27 = 5,734.32 : x
2. Step 2: Convert to fraction form
   9,085.56/12,546.27 = 5,734.32/x
3. Step 3: Cross multiply
   9,085.56x = 12,546.27 × 5,734.32
4. Step 4: Simplify right side
   9,085.56x = 71,944,326.99
5. Step 5: Solve for x
   x = 71,944,326.99/9,085.56
6. Step 6: Final answer
   x = 7,918.54