Finding the Fourth Proportional to 1,902.69, 2,854.72 and 792.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,902.69 : 2,854.72 = 792.27 : x
2. Step 2: Convert to fraction form
   1,902.69/2,854.72 = 792.27/x
3. Step 3: Cross multiply
   1,902.69x = 2,854.72 × 792.27
4. Step 4: Simplify right side
   1,902.69x = 2,261,721.83
5. Step 5: Solve for x
   x = 2,261,721.83/1,902.69
6. Step 6: Final answer
   x = 1,188.70