Finding the Fourth Proportional to 1,274.89, 1,914.55 and 758.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,274.89 : 1,914.55 = 758.15 : x
2. Step 2: Convert to fraction form
   1,274.89/1,914.55 = 758.15/x
3. Step 3: Cross multiply
   1,274.89x = 1,914.55 × 758.15
4. Step 4: Simplify right side
   1,274.89x = 1,451,516.08
5. Step 5: Solve for x
   x = 1,451,516.08/1,274.89
6. Step 6: Final answer
   x = 1,138.54