Finding the Fourth Proportional to 2,545.82, 3,817.65 and 902.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,545.82 : 3,817.65 = 902.78 : x
2. Step 2: Convert to fraction form
   2,545.82/3,817.65 = 902.78/x
3. Step 3: Cross multiply
   2,545.82x = 3,817.65 × 902.78
4. Step 4: Simplify right side
   2,545.82x = 3,446,498.07
5. Step 5: Solve for x
   x = 3,446,498.07/2,545.82
6. Step 6: Final answer
   x = 1,353.79