Finding the Fourth Proportional to 1,667.46, 2,499.54 and 802.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,667.46 : 2,499.54 = 802.38 : x
2. Step 2: Convert to fraction form
   1,667.46/2,499.54 = 802.38/x
3. Step 3: Cross multiply
   1,667.46x = 2,499.54 × 802.38
4. Step 4: Simplify right side
   1,667.46x = 2,005,580.91
5. Step 5: Solve for x
   x = 2,005,580.91/1,667.46
6. Step 6: Final answer
   x = 1,202.78