Finding the Fourth Proportional to 9,146.26, 12,626.55 and 5,792.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,146.26 : 12,626.55 = 5,792.58 : x
2. Step 2: Convert to fraction form
   9,146.26/12,626.55 = 5,792.58/x
3. Step 3: Cross multiply
   9,146.26x = 12,626.55 × 5,792.58
4. Step 4: Simplify right side
   9,146.26x = 73,140,301.00
5. Step 5: Solve for x
   x = 73,140,301.00/9,146.26
6. Step 6: Final answer
   x = 7,996.74