Finding the Fourth Proportional to 1,741.14, 2,612.40 and 766.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,741.14 : 2,612.40 = 766.56 : x
2. Step 2: Convert to fraction form
   1,741.14/2,612.40 = 766.56/x
3. Step 3: Cross multiply
   1,741.14x = 2,612.40 × 766.56
4. Step 4: Simplify right side
   1,741.14x = 2,002,561.34
5. Step 5: Solve for x
   x = 2,002,561.34/1,741.14
6. Step 6: Final answer
   x = 1,150.14