Finding the Fourth Proportional to 2,585.84, 3,877.61 and 1,180.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.84 : 3,877.61 = 1,180.22 : x
2. Step 2: Convert to fraction form
   2,585.84/3,877.61 = 1,180.22/x
3. Step 3: Cross multiply
   2,585.84x = 3,877.61 × 1,180.22
4. Step 4: Simplify right side
   2,585.84x = 4,576,407.59
5. Step 5: Solve for x
   x = 4,576,407.59/2,585.84
6. Step 6: Final answer
   x = 1,769.80