Finding the Fourth Proportional to 1,082.61, 1,624.52 and 505.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.61 : 1,624.52 = 505.48 : x
2. Step 2: Convert to fraction form
   1,082.61/1,624.52 = 505.48/x
3. Step 3: Cross multiply
   1,082.61x = 1,624.52 × 505.48
4. Step 4: Simplify right side
   1,082.61x = 821,162.37
5. Step 5: Solve for x
   x = 821,162.37/1,082.61
6. Step 6: Final answer
   x = 758.50