Finding the Fourth Proportional to 1,377.59, 2,066.61 and 684.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.59 : 2,066.61 = 684.28 : x
2. Step 2: Convert to fraction form
   1,377.59/2,066.61 = 684.28/x
3. Step 3: Cross multiply
   1,377.59x = 2,066.61 × 684.28
4. Step 4: Simplify right side
   1,377.59x = 1,414,127.64
5. Step 5: Solve for x
   x = 1,414,127.64/1,377.59
6. Step 6: Final answer
   x = 1,026.53