Finding the Fourth Proportional to 1,667.87, 2,502.36 and 802.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,667.87 : 2,502.36 = 802.25 : x
2. Step 2: Convert to fraction form
   1,667.87/2,502.36 = 802.25/x
3. Step 3: Cross multiply
   1,667.87x = 2,502.36 × 802.25
4. Step 4: Simplify right side
   1,667.87x = 2,007,518.31
5. Step 5: Solve for x
   x = 2,007,518.31/1,667.87
6. Step 6: Final answer
   x = 1,203.64