Finding the Fourth Proportional to 9,290.56, 12,827.04 and 5,758.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,290.56 : 12,827.04 = 5,758.96 : x
2. Step 2: Convert to fraction form
   9,290.56/12,827.04 = 5,758.96/x
3. Step 3: Cross multiply
   9,290.56x = 12,827.04 × 5,758.96
4. Step 4: Simplify right side
   9,290.56x = 73,870,410.28
5. Step 5: Solve for x
   x = 73,870,410.28/9,290.56
6. Step 6: Final answer
   x = 7,951.13