Finding the Fourth Proportional to 1,774.90, 2,661.42 and 800.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,774.90 : 2,661.42 = 800.16 : x
2. Step 2: Convert to fraction form
   1,774.90/2,661.42 = 800.16/x
3. Step 3: Cross multiply
   1,774.90x = 2,661.42 × 800.16
4. Step 4: Simplify right side
   1,774.90x = 2,129,561.83
5. Step 5: Solve for x
   x = 2,129,561.83/1,774.90
6. Step 6: Final answer
   x = 1,199.82