Finding the Fourth Proportional to 2,068.50, 3,101.94 and 1,027.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,068.50 : 3,101.94 = 1,027.74 : x
2. Step 2: Convert to fraction form
   2,068.50/3,101.94 = 1,027.74/x
3. Step 3: Cross multiply
   2,068.50x = 3,101.94 × 1,027.74
4. Step 4: Simplify right side
   2,068.50x = 3,187,987.82
5. Step 5: Solve for x
   x = 3,187,987.82/2,068.50
6. Step 6: Final answer
   x = 1,541.21