Finding the Fourth Proportional to 1,274.52, 1,760.78 and 1,089.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,274.52 : 1,760.78 = 1,089.92 : x
2. Step 2: Convert to fraction form
   1,274.52/1,760.78 = 1,089.92/x
3. Step 3: Cross multiply
   1,274.52x = 1,760.78 × 1,089.92
4. Step 4: Simplify right side
   1,274.52x = 1,919,109.34
5. Step 5: Solve for x
   x = 1,919,109.34/1,274.52
6. Step 6: Final answer
   x = 1,505.75