Finding the Fourth Proportional to 1,648.64, 2,474.50 and 869.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.64 : 2,474.50 = 869.22 : x
2. Step 2: Convert to fraction form
   1,648.64/2,474.50 = 869.22/x
3. Step 3: Cross multiply
   1,648.64x = 2,474.50 × 869.22
4. Step 4: Simplify right side
   1,648.64x = 2,150,884.89
5. Step 5: Solve for x
   x = 2,150,884.89/1,648.64
6. Step 6: Final answer
   x = 1,304.64