Finding the Fourth Proportional to 2,546.24, 3,819.76 and 902.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.24 : 3,819.76 = 902.34 : x
2. Step 2: Convert to fraction form
   2,546.24/3,819.76 = 902.34/x
3. Step 3: Cross multiply
   2,546.24x = 3,819.76 × 902.34
4. Step 4: Simplify right side
   2,546.24x = 3,446,719.98
5. Step 5: Solve for x
   x = 3,446,719.98/2,546.24
6. Step 6: Final answer
   x = 1,353.65