Finding the Fourth Proportional to 1,905.78, 2,629.83 and 1,066.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,905.78 : 2,629.83 = 1,066.42 : x
2. Step 2: Convert to fraction form
   1,905.78/2,629.83 = 1,066.42/x
3. Step 3: Cross multiply
   1,905.78x = 2,629.83 × 1,066.42
4. Step 4: Simplify right side
   1,905.78x = 2,804,503.31
5. Step 5: Solve for x
   x = 2,804,503.31/1,905.78
6. Step 6: Final answer
   x = 1,471.58