Finding the Fourth Proportional to 2,314.50, 3,194.01 and 1,266.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314.50 : 3,194.01 = 1,266.57 : x
2. Step 2: Convert to fraction form
   2,314.50/3,194.01 = 1,266.57/x
3. Step 3: Cross multiply
   2,314.50x = 3,194.01 × 1,266.57
4. Step 4: Simplify right side
   2,314.50x = 4,045,437.25
5. Step 5: Solve for x
   x = 4,045,437.25/2,314.50
6. Step 6: Final answer
   x = 1,747.87