Finding the Fourth Proportional to 7,085.97, 9,792.12 and 5,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,085.97 : 9,792.12 = 5,314.50 : x
2. Step 2: Convert to fraction form
   7,085.97/9,792.12 = 5,314.50/x
3. Step 3: Cross multiply
   7,085.97x = 9,792.12 × 5,314.50
4. Step 4: Simplify right side
   7,085.97x = 52,040,175.58
5. Step 5: Solve for x
   x = 52,040,175.58/7,085.97
6. Step 6: Final answer
   x = 7,344.12