Finding the Fourth Proportional to 2,292.96, 3,162.46 and 1,585.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,292.96 : 3,162.46 = 1,585.06 : x
2. Step 2: Convert to fraction form
   2,292.96/3,162.46 = 1,585.06/x
3. Step 3: Cross multiply
   2,292.96x = 3,162.46 × 1,585.06
4. Step 4: Simplify right side
   2,292.96x = 5,012,688.85
5. Step 5: Solve for x
   x = 5,012,688.85/2,292.96
6. Step 6: Final answer
   x = 2,186.12