Finding the Fourth Proportional to 1,780.77, 2,669.89 and 684.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,780.77 : 2,669.89 = 684.93 : x
2. Step 2: Convert to fraction form
   1,780.77/2,669.89 = 684.93/x
3. Step 3: Cross multiply
   1,780.77x = 2,669.89 × 684.93
4. Step 4: Simplify right side
   1,780.77x = 1,828,687.76
5. Step 5: Solve for x
   x = 1,828,687.76/1,780.77
6. Step 6: Final answer
   x = 1,026.91