Finding the Fourth Proportional to 1,667.33, 2,502.61 and 802.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,667.33 : 2,502.61 = 802.25 : x
2. Step 2: Convert to fraction form
   1,667.33/2,502.61 = 802.25/x
3. Step 3: Cross multiply
   1,667.33x = 2,502.61 × 802.25
4. Step 4: Simplify right side
   1,667.33x = 2,007,718.25
5. Step 5: Solve for x
   x = 2,007,718.25/1,667.33
6. Step 6: Final answer
   x = 1,204.15