Finding the Fourth Proportional to 2,601.65, 3,902.06 and 846.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,601.65 : 3,902.06 = 846.42 : x
2. Step 2: Convert to fraction form
   2,601.65/3,902.06 = 846.42/x
3. Step 3: Cross multiply
   2,601.65x = 3,902.06 × 846.42
4. Step 4: Simplify right side
   2,601.65x = 3,302,764.35
5. Step 5: Solve for x
   x = 3,302,764.35/2,601.65
6. Step 6: Final answer
   x = 1,269.49