Finding the Fourth Proportional to 2,585.99, 3,878.05 and 942.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.99 : 3,878.05 = 942.16 : x
2. Step 2: Convert to fraction form
   2,585.99/3,878.05 = 942.16/x
3. Step 3: Cross multiply
   2,585.99x = 3,878.05 × 942.16
4. Step 4: Simplify right side
   2,585.99x = 3,653,743.59
5. Step 5: Solve for x
   x = 3,653,743.59/2,585.99
6. Step 6: Final answer
   x = 1,412.90