Finding the Fourth Proportional to 2,846.71, 4,269.72 and 766.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,846.71 : 4,269.72 = 766.90 : x
2. Step 2: Convert to fraction form
   2,846.71/4,269.72 = 766.90/x
3. Step 3: Cross multiply
   2,846.71x = 4,269.72 × 766.90
4. Step 4: Simplify right side
   2,846.71x = 3,274,448.27
5. Step 5: Solve for x
   x = 3,274,448.27/2,846.71
6. Step 6: Final answer
   x = 1,150.26