Finding the Fourth Proportional to 1,667.87, 2,506.66 and 802.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,667.87 : 2,506.66 = 802.79 : x
2. Step 2: Convert to fraction form
   1,667.87/2,506.66 = 802.79/x
3. Step 3: Cross multiply
   1,667.87x = 2,506.66 × 802.79
4. Step 4: Simplify right side
   1,667.87x = 2,012,307.04
5. Step 5: Solve for x
   x = 2,012,307.04/1,667.87
6. Step 6: Final answer
   x = 1,206.52