Finding the Fourth Proportional to 1,892.55, 2,838.83 and 505.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.55 : 2,838.83 = 505.82 : x
2. Step 2: Convert to fraction form
   1,892.55/2,838.83 = 505.82/x
3. Step 3: Cross multiply
   1,892.55x = 2,838.83 × 505.82
4. Step 4: Simplify right side
   1,892.55x = 1,435,920.27
5. Step 5: Solve for x
   x = 1,435,920.27/1,892.55
6. Step 6: Final answer
   x = 758.72