Finding the Fourth Proportional to 3,863.80, 5,783.55 and 3,742.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,863.80 : 5,783.55 = 3,742.30 : x
2. Step 2: Convert to fraction form
   3,863.80/5,783.55 = 3,742.30/x
3. Step 3: Cross multiply
   3,863.80x = 5,783.55 × 3,742.30
4. Step 4: Simplify right side
   3,863.80x = 21,643,779.17
5. Step 5: Solve for x
   x = 21,643,779.17/3,863.80
6. Step 6: Final answer
   x = 5,601.68