Finding the Fourth Proportional to 1,677.42, 2,314.32 and 1,005.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,677.42 : 2,314.32 = 1,005.17 : x
2. Step 2: Convert to fraction form
   1,677.42/2,314.32 = 1,005.17/x
3. Step 3: Cross multiply
   1,677.42x = 2,314.32 × 1,005.17
4. Step 4: Simplify right side
   1,677.42x = 2,326,273.46
5. Step 5: Solve for x
   x = 2,326,273.46/1,677.42
6. Step 6: Final answer
   x = 1,386.82