Finding the Fourth Proportional to 1,382.72, 2,074.89 and 766.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.72 : 2,074.89 = 766.94 : x
2. Step 2: Convert to fraction form
   1,382.72/2,074.89 = 766.94/x
3. Step 3: Cross multiply
   1,382.72x = 2,074.89 × 766.94
4. Step 4: Simplify right side
   1,382.72x = 1,591,316.14
5. Step 5: Solve for x
   x = 1,591,316.14/1,382.72
6. Step 6: Final answer
   x = 1,150.86