Finding the Fourth Proportional to 1,648.81, 2,275.27 and 902.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.81 : 2,275.27 = 902.63 : x
2. Step 2: Convert to fraction form
   1,648.81/2,275.27 = 902.63/x
3. Step 3: Cross multiply
   1,648.81x = 2,275.27 × 902.63
4. Step 4: Simplify right side
   1,648.81x = 2,053,722.67
5. Step 5: Solve for x
   x = 2,053,722.67/1,648.81
6. Step 6: Final answer
   x = 1,245.58