Finding the Fourth Proportional to 1,601.33, 2,402.33 and 505.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,601.33 : 2,402.33 = 505.69 : x
2. Step 2: Convert to fraction form
   1,601.33/2,402.33 = 505.69/x
3. Step 3: Cross multiply
   1,601.33x = 2,402.33 × 505.69
4. Step 4: Simplify right side
   1,601.33x = 1,214,825.72
5. Step 5: Solve for x
   x = 1,214,825.72/1,601.33
6. Step 6: Final answer
   x = 758.64