Finding the Fourth Proportional to 2,116.50, 3,167.86 and 1,914.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,116.50 : 3,167.86 = 1,914.42 : x
2. Step 2: Convert to fraction form
   2,116.50/3,167.86 = 1,914.42/x
3. Step 3: Cross multiply
   2,116.50x = 3,167.86 × 1,914.42
4. Step 4: Simplify right side
   2,116.50x = 6,064,614.54
5. Step 5: Solve for x
   x = 6,064,614.54/2,116.50
6. Step 6: Final answer
   x = 2,865.40