Finding the Fourth Proportional to 1,667.75, 2,500.07 and 778.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,667.75 : 2,500.07 = 778.23 : x
2. Step 2: Convert to fraction form
   1,667.75/2,500.07 = 778.23/x
3. Step 3: Cross multiply
   1,667.75x = 2,500.07 × 778.23
4. Step 4: Simplify right side
   1,667.75x = 1,945,625.58
5. Step 5: Solve for x
   x = 1,945,625.58/1,667.75
6. Step 6: Final answer
   x = 1,166.62