Finding the Fourth Proportional to 3,892.02, 5,835.33 and 1,426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.02 : 5,835.33 = 1,426.50 : x
2. Step 2: Convert to fraction form
   3,892.02/5,835.33 = 1,426.50/x
3. Step 3: Cross multiply
   3,892.02x = 5,835.33 × 1,426.50
4. Step 4: Simplify right side
   3,892.02x = 8,324,098.25
5. Step 5: Solve for x
   x = 8,324,098.25/3,892.02
6. Step 6: Final answer
   x = 2,138.76