Finding the Fourth Proportional to 3,892.55, 5,838.12 and 1,259.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.55 : 5,838.12 = 1,259.94 : x
2. Step 2: Convert to fraction form
   3,892.55/5,838.12 = 1,259.94/x
3. Step 3: Cross multiply
   3,892.55x = 5,838.12 × 1,259.94
4. Step 4: Simplify right side
   3,892.55x = 7,355,680.91
5. Step 5: Solve for x
   x = 7,355,680.91/3,892.55
6. Step 6: Final answer
   x = 1,889.68