Finding the Fourth Proportional to 3,868.42, 5,802.56 and 946.74

Step by Step Solution

1. Step 1: Write the proportion equation
   3,868.42 : 5,802.56 = 946.74 : x
2. Step 2: Convert to fraction form
   3,868.42/5,802.56 = 946.74/x
3. Step 3: Cross multiply
   3,868.42x = 5,802.56 × 946.74
4. Step 4: Simplify right side
   3,868.42x = 5,493,515.65
5. Step 5: Solve for x
   x = 5,493,515.65/3,868.42
6. Step 6: Final answer
   x = 1,420.09