Finding the Fourth Proportional to 1,377.52, 2,064.72 and 684.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.52 : 2,064.72 = 684.67 : x
2. Step 2: Convert to fraction form
   1,377.52/2,064.72 = 684.67/x
3. Step 3: Cross multiply
   1,377.52x = 2,064.72 × 684.67
4. Step 4: Simplify right side
   1,377.52x = 1,413,651.84
5. Step 5: Solve for x
   x = 1,413,651.84/1,377.52
6. Step 6: Final answer
   x = 1,026.23