Finding the Fourth Proportional to 1,648.81, 2,274.42 and 1,089.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.81 : 2,274.42 = 1,089.37 : x
2. Step 2: Convert to fraction form
   1,648.81/2,274.42 = 1,089.37/x
3. Step 3: Cross multiply
   1,648.81x = 2,274.42 × 1,089.37
4. Step 4: Simplify right side
   1,648.81x = 2,477,686.52
5. Step 5: Solve for x
   x = 2,477,686.52/1,648.81
6. Step 6: Final answer
   x = 1,502.71