Finding the Fourth Proportional to 1,826.93, 2,522.31 and 1,406.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,826.93 : 2,522.31 = 1,406.49 : x
2. Step 2: Convert to fraction form
   1,826.93/2,522.31 = 1,406.49/x
3. Step 3: Cross multiply
   1,826.93x = 2,522.31 × 1,406.49
4. Step 4: Simplify right side
   1,826.93x = 3,547,608.02
5. Step 5: Solve for x
   x = 3,547,608.02/1,826.93
6. Step 6: Final answer
   x = 1,941.84