Finding the Fourth Proportional to 5,842.02, 8,066.46 and 3,855.40

Step by Step Solution

1. Step 1: Write the proportion equation
   5,842.02 : 8,066.46 = 3,855.40 : x
2. Step 2: Convert to fraction form
   5,842.02/8,066.46 = 3,855.40/x
3. Step 3: Cross multiply
   5,842.02x = 8,066.46 × 3,855.40
4. Step 4: Simplify right side
   5,842.02x = 31,099,429.88
5. Step 5: Solve for x
   x = 31,099,429.88/5,842.02
6. Step 6: Final answer
   x = 5,323.40