Finding the Fourth Proportional to 3,892.12, 5,838.15 and 970.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.12 : 5,838.15 = 970.42 : x
2. Step 2: Convert to fraction form
   3,892.12/5,838.15 = 970.42/x
3. Step 3: Cross multiply
   3,892.12x = 5,838.15 × 970.42
4. Step 4: Simplify right side
   3,892.12x = 5,665,457.52
5. Step 5: Solve for x
   x = 5,665,457.52/3,892.12
6. Step 6: Final answer
   x = 1,455.62