Finding the Fourth Proportional to 2,288.50, 3,160.68 and 1,582.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,288.50 : 3,160.68 = 1,582.30 : x
2. Step 2: Convert to fraction form
   2,288.50/3,160.68 = 1,582.30/x
3. Step 3: Cross multiply
   2,288.50x = 3,160.68 × 1,582.30
4. Step 4: Simplify right side
   2,288.50x = 5,001,143.96
5. Step 5: Solve for x
   x = 5,001,143.96/2,288.50
6. Step 6: Final answer
   x = 2,185.34