Finding the Fourth Proportional to 1,235.58, 1,854.83 and 505.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,235.58 : 1,854.83 = 505.74 : x
2. Step 2: Convert to fraction form
   1,235.58/1,854.83 = 505.74/x
3. Step 3: Cross multiply
   1,235.58x = 1,854.83 × 505.74
4. Step 4: Simplify right side
   1,235.58x = 938,061.72
5. Step 5: Solve for x
   x = 938,061.72/1,235.58
6. Step 6: Final answer
   x = 759.21