Finding the Fourth Proportional to 3,892.34, 5,838.42 and 1,295.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.34 : 5,838.42 = 1,295.30 : x
2. Step 2: Convert to fraction form
   3,892.34/5,838.42 = 1,295.30/x
3. Step 3: Cross multiply
   3,892.34x = 5,838.42 × 1,295.30
4. Step 4: Simplify right side
   3,892.34x = 7,562,505.43
5. Step 5: Solve for x
   x = 7,562,505.43/3,892.34
6. Step 6: Final answer
   x = 1,942.92