Finding the Fourth Proportional to 2,546.31, 3,819.89 and 902.51

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.31 : 3,819.89 = 902.51 : x
2. Step 2: Convert to fraction form
   2,546.31/3,819.89 = 902.51/x
3. Step 3: Cross multiply
   2,546.31x = 3,819.89 × 902.51
4. Step 4: Simplify right side
   2,546.31x = 3,447,488.92
5. Step 5: Solve for x
   x = 3,447,488.92/2,546.31
6. Step 6: Final answer
   x = 1,353.92