Finding the Fourth Proportional to 3,111.59, 4,656.42 and 1,942.14

Step by Step Solution

1. Step 1: Write the proportion equation
   3,111.59 : 4,656.42 = 1,942.14 : x
2. Step 2: Convert to fraction form
   3,111.59/4,656.42 = 1,942.14/x
3. Step 3: Cross multiply
   3,111.59x = 4,656.42 × 1,942.14
4. Step 4: Simplify right side
   3,111.59x = 9,043,409.83
5. Step 5: Solve for x
   x = 9,043,409.83/3,111.59
6. Step 6: Final answer
   x = 2,906.36