Finding the Fourth Proportional to 2,546.40, 3,817.54 and 902.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.40 : 3,817.54 = 902.05 : x
2. Step 2: Convert to fraction form
   2,546.40/3,817.54 = 902.05/x
3. Step 3: Cross multiply
   2,546.40x = 3,817.54 × 902.05
4. Step 4: Simplify right side
   2,546.40x = 3,443,596.90
5. Step 5: Solve for x
   x = 3,443,596.90/2,546.40
6. Step 6: Final answer
   x = 1,352.34