Finding the Fourth Proportional to 3,892.48, 5,838.68 and 970.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.48 : 5,838.68 = 970.82 : x
2. Step 2: Convert to fraction form
   3,892.48/5,838.68 = 970.82/x
3. Step 3: Cross multiply
   3,892.48x = 5,838.68 × 970.82
4. Step 4: Simplify right side
   3,892.48x = 5,668,307.32
5. Step 5: Solve for x
   x = 5,668,307.32/3,892.48
6. Step 6: Final answer
   x = 1,456.22