Finding the Fourth Proportional to 1,686.86, 2,327.83 and 1,057.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686.86 : 2,327.83 = 1,057.75 : x
2. Step 2: Convert to fraction form
   1,686.86/2,327.83 = 1,057.75/x
3. Step 3: Cross multiply
   1,686.86x = 2,327.83 × 1,057.75
4. Step 4: Simplify right side
   1,686.86x = 2,462,262.18
5. Step 5: Solve for x
   x = 2,462,262.18/1,686.86
6. Step 6: Final answer
   x = 1,459.67