Finding the Fourth Proportional to 1,600.74, 2,209.15 and 892.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,600.74 : 2,209.15 = 892.82 : x
2. Step 2: Convert to fraction form
   1,600.74/2,209.15 = 892.82/x
3. Step 3: Cross multiply
   1,600.74x = 2,209.15 × 892.82
4. Step 4: Simplify right side
   1,600.74x = 1,972,369.10
5. Step 5: Solve for x
   x = 1,972,369.10/1,600.74
6. Step 6: Final answer
   x = 1,232.16