Finding the Fourth Proportional to 2,546.51, 3,820.17 and 902.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.51 : 3,820.17 = 902.69 : x
2. Step 2: Convert to fraction form
   2,546.51/3,820.17 = 902.69/x
3. Step 3: Cross multiply
   2,546.51x = 3,820.17 × 902.69
4. Step 4: Simplify right side
   2,546.51x = 3,448,429.26
5. Step 5: Solve for x
   x = 3,448,429.26/2,546.51
6. Step 6: Final answer
   x = 1,354.18