Finding the Fourth Proportional to 2,234.18, 3,082.65 and 1,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,234.18 : 3,082.65 = 1,536.50 : x
2. Step 2: Convert to fraction form
   2,234.18/3,082.65 = 1,536.50/x
3. Step 3: Cross multiply
   2,234.18x = 3,082.65 × 1,536.50
4. Step 4: Simplify right side
   2,234.18x = 4,736,491.73
5. Step 5: Solve for x
   x = 4,736,491.73/2,234.18
6. Step 6: Final answer
   x = 2,120.01