Finding the Fourth Proportional to 1,382.50, 2,073.78 and 766.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.50 : 2,073.78 = 766.12 : x
2. Step 2: Convert to fraction form
   1,382.50/2,073.78 = 766.12/x
3. Step 3: Cross multiply
   1,382.50x = 2,073.78 × 766.12
4. Step 4: Simplify right side
   1,382.50x = 1,588,764.33
5. Step 5: Solve for x
   x = 1,588,764.33/1,382.50
6. Step 6: Final answer
   x = 1,149.20