Finding the Fourth Proportional to 1,682.78, 2,522.34 and 1,066.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,682.78 : 2,522.34 = 1,066.77 : x
2. Step 2: Convert to fraction form
   1,682.78/2,522.34 = 1,066.77/x
3. Step 3: Cross multiply
   1,682.78x = 2,522.34 × 1,066.77
4. Step 4: Simplify right side
   1,682.78x = 2,690,756.64
5. Step 5: Solve for x
   x = 2,690,756.64/1,682.78
6. Step 6: Final answer
   x = 1,599.00