Finding the Fourth Proportional to 1,824.80, 2,734.85 and 1,166.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,824.80 : 2,734.85 = 1,166.41 : x
2. Step 2: Convert to fraction form
   1,824.80/2,734.85 = 1,166.41/x
3. Step 3: Cross multiply
   1,824.80x = 2,734.85 × 1,166.41
4. Step 4: Simplify right side
   1,824.80x = 3,189,962.72
5. Step 5: Solve for x
   x = 3,189,962.72/1,824.80
6. Step 6: Final answer
   x = 1,748.12