Finding the Fourth Proportional to 2,546.27, 3,820.01 and 902.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.27 : 3,820.01 = 902.96 : x
2. Step 2: Convert to fraction form
   2,546.27/3,820.01 = 902.96/x
3. Step 3: Cross multiply
   2,546.27x = 3,820.01 × 902.96
4. Step 4: Simplify right side
   2,546.27x = 3,449,292.61
5. Step 5: Solve for x
   x = 3,449,292.61/2,546.27
6. Step 6: Final answer
   x = 1,354.65