Finding the Fourth Proportional to 1,760.81, 2,641.83 and 1,178.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,760.81 : 2,641.83 = 1,178.15 : x
2. Step 2: Convert to fraction form
   1,760.81/2,641.83 = 1,178.15/x
3. Step 3: Cross multiply
   1,760.81x = 2,641.83 × 1,178.15
4. Step 4: Simplify right side
   1,760.81x = 3,112,472.01
5. Step 5: Solve for x
   x = 3,112,472.01/1,760.81
6. Step 6: Final answer
   x = 1,767.64