Finding the Fourth Proportional to 2,141.16, 3,211.42 and 1,778.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.16 : 3,211.42 = 1,778.28 : x
2. Step 2: Convert to fraction form
   2,141.16/3,211.42 = 1,778.28/x
3. Step 3: Cross multiply
   2,141.16x = 3,211.42 × 1,778.28
4. Step 4: Simplify right side
   2,141.16x = 5,710,803.96
5. Step 5: Solve for x
   x = 5,710,803.96/2,141.16
6. Step 6: Final answer
   x = 2,667.15