Finding the Fourth Proportional to 3,892.52, 5,838.78 and 970.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.52 : 5,838.78 = 970.82 : x
2. Step 2: Convert to fraction form
   3,892.52/5,838.78 = 970.82/x
3. Step 3: Cross multiply
   3,892.52x = 5,838.78 × 970.82
4. Step 4: Simplify right side
   3,892.52x = 5,668,400.74
5. Step 5: Solve for x
   x = 5,668,400.74/3,892.52
6. Step 6: Final answer
   x = 1,456.23