Finding the Fourth Proportional to 1,780.50, 2,670.54 and 684.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,780.50 : 2,670.54 = 684.09 : x
2. Step 2: Convert to fraction form
   1,780.50/2,670.54 = 684.09/x
3. Step 3: Cross multiply
   1,780.50x = 2,670.54 × 684.09
4. Step 4: Simplify right side
   1,780.50x = 1,826,889.71
5. Step 5: Solve for x
   x = 1,826,889.71/1,780.50
6. Step 6: Final answer
   x = 1,026.05