Finding the Fourth Proportional to 1,741.82, 2,612.94 and 767.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,741.82 : 2,612.94 = 767.82 : x
2. Step 2: Convert to fraction form
   1,741.82/2,612.94 = 767.82/x
3. Step 3: Cross multiply
   1,741.82x = 2,612.94 × 767.82
4. Step 4: Simplify right side
   1,741.82x = 2,006,267.59
5. Step 5: Solve for x
   x = 2,006,267.59/1,741.82
6. Step 6: Final answer
   x = 1,151.82