Finding the Fourth Proportional to 1,667.12, 2,505.53 and 802.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,667.12 : 2,505.53 = 802.04 : x
2. Step 2: Convert to fraction form
   1,667.12/2,505.53 = 802.04/x
3. Step 3: Cross multiply
   1,667.12x = 2,505.53 × 802.04
4. Step 4: Simplify right side
   1,667.12x = 2,009,524.76
5. Step 5: Solve for x
   x = 2,009,524.76/1,667.12
6. Step 6: Final answer
   x = 1,205.39