Finding the Fourth Proportional to 1,741.40, 2,612.78 and 766.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,741.40 : 2,612.78 = 766.81 : x
2. Step 2: Convert to fraction form
   1,741.40/2,612.78 = 766.81/x
3. Step 3: Cross multiply
   1,741.40x = 2,612.78 × 766.81
4. Step 4: Simplify right side
   1,741.40x = 2,003,505.83
5. Step 5: Solve for x
   x = 2,003,505.83/1,741.40
6. Step 6: Final answer
   x = 1,150.51