Finding the Fourth Proportional to 1,806.39, 2,707.47 and 766.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,806.39 : 2,707.47 = 766.05 : x
2. Step 2: Convert to fraction form
   1,806.39/2,707.47 = 766.05/x
3. Step 3: Cross multiply
   1,806.39x = 2,707.47 × 766.05
4. Step 4: Simplify right side
   1,806.39x = 2,074,057.39
5. Step 5: Solve for x
   x = 2,074,057.39/1,806.39
6. Step 6: Final answer
   x = 1,148.18