Finding the Fourth Proportional to 1,822.12, 2,734.58 and 1,410.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.12 : 2,734.58 = 1,410.28 : x
2. Step 2: Convert to fraction form
   1,822.12/2,734.58 = 1,410.28/x
3. Step 3: Cross multiply
   1,822.12x = 2,734.58 × 1,410.28
4. Step 4: Simplify right side
   1,822.12x = 3,856,516.43
5. Step 5: Solve for x
   x = 3,856,516.43/1,822.12
6. Step 6: Final answer
   x = 2,116.50