Finding the Fourth Proportional to 1,601.40, 2,402.00 and 506.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,601.40 : 2,402.00 = 506.55 : x
2. Step 2: Convert to fraction form
   1,601.40/2,402.00 = 506.55/x
3. Step 3: Cross multiply
   1,601.40x = 2,402.00 × 506.55
4. Step 4: Simplify right side
   1,601.40x = 1,216,730.57
5. Step 5: Solve for x
   x = 1,216,730.57/1,601.40
6. Step 6: Final answer
   x = 759.79