Finding the Fourth Proportional to 2,555.34, 3,827.60 and 1,169.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,555.34 : 3,827.60 = 1,169.83 : x
2. Step 2: Convert to fraction form
   2,555.34/3,827.60 = 1,169.83/x
3. Step 3: Cross multiply
   2,555.34x = 3,827.60 × 1,169.83
4. Step 4: Simplify right side
   2,555.34x = 4,477,641.31
5. Step 5: Solve for x
   x = 4,477,641.31/2,555.34
6. Step 6: Final answer
   x = 1,752.27