Finding the Fourth Proportional to 1,667.80, 2,500.78 and 802.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,667.80 : 2,500.78 = 802.12 : x
2. Step 2: Convert to fraction form
   1,667.80/2,500.78 = 802.12/x
3. Step 3: Cross multiply
   1,667.80x = 2,500.78 × 802.12
4. Step 4: Simplify right side
   1,667.80x = 2,005,925.65
5. Step 5: Solve for x
   x = 2,005,925.65/1,667.80
6. Step 6: Final answer
   x = 1,202.74