Finding the Fourth Proportional to 1,677.10, 2,314.04 and 1,013.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,677.10 : 2,314.04 = 1,013.82 : x
2. Step 2: Convert to fraction form
   1,677.10/2,314.04 = 1,013.82/x
3. Step 3: Cross multiply
   1,677.10x = 2,314.04 × 1,013.82
4. Step 4: Simplify right side
   1,677.10x = 2,346,022.57
5. Step 5: Solve for x
   x = 2,346,022.57/1,677.10
6. Step 6: Final answer
   x = 1,398.86