Finding the Fourth Proportional to 1,377.34, 2,066.24 and 684.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.34 : 2,066.24 = 684.04 : x
2. Step 2: Convert to fraction form
   1,377.34/2,066.24 = 684.04/x
3. Step 3: Cross multiply
   1,377.34x = 2,066.24 × 684.04
4. Step 4: Simplify right side
   1,377.34x = 1,413,390.81
5. Step 5: Solve for x
   x = 1,413,390.81/1,377.34
6. Step 6: Final answer
   x = 1,026.17