Finding the Fourth Proportional to 1,667.64, 2,502.27 and 802.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,667.64 : 2,502.27 = 802.02 : x
2. Step 2: Convert to fraction form
   1,667.64/2,502.27 = 802.02/x
3. Step 3: Cross multiply
   1,667.64x = 2,502.27 × 802.02
4. Step 4: Simplify right side
   1,667.64x = 2,006,870.59
5. Step 5: Solve for x
   x = 2,006,870.59/1,667.64
6. Step 6: Final answer
   x = 1,203.42