Finding the Fourth Proportional to 5,866.40, 8,091.42 and 3,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,866.40 : 8,091.42 = 3,768.50 : x
2. Step 2: Convert to fraction form
   5,866.40/8,091.42 = 3,768.50/x
3. Step 3: Cross multiply
   5,866.40x = 8,091.42 × 3,768.50
4. Step 4: Simplify right side
   5,866.40x = 30,492,516.27
5. Step 5: Solve for x
   x = 30,492,516.27/5,866.40
6. Step 6: Final answer
   x = 5,197.82