Finding the Fourth Proportional to 3,827.58, 5,742.72 and 1,880.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.58 : 5,742.72 = 1,880.88 : x
2. Step 2: Convert to fraction form
   3,827.58/5,742.72 = 1,880.88/x
3. Step 3: Cross multiply
   3,827.58x = 5,742.72 × 1,880.88
4. Step 4: Simplify right side
   3,827.58x = 10,801,367.19
5. Step 5: Solve for x
   x = 10,801,367.19/3,827.58
6. Step 6: Final answer
   x = 2,821.98