Finding the Fourth Proportional to 1,648.81, 2,275.33 and 902.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.81 : 2,275.33 = 902.75 : x
2. Step 2: Convert to fraction form
   1,648.81/2,275.33 = 902.75/x
3. Step 3: Cross multiply
   1,648.81x = 2,275.33 × 902.75
4. Step 4: Simplify right side
   1,648.81x = 2,054,063.95
5. Step 5: Solve for x
   x = 2,054,063.95/1,648.81
6. Step 6: Final answer
   x = 1,245.79