Finding the Fourth Proportional to 1,648.86, 2,275.34 and 902.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.86 : 2,275.34 = 902.80 : x
2. Step 2: Convert to fraction form
   1,648.86/2,275.34 = 902.80/x
3. Step 3: Cross multiply
   1,648.86x = 2,275.34 × 902.80
4. Step 4: Simplify right side
   1,648.86x = 2,054,167.56
5. Step 5: Solve for x
   x = 2,054,167.56/1,648.86
6. Step 6: Final answer
   x = 1,245.81