Finding the Fourth Proportional to 1,119.72, 1,677.34 and 535.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,119.72 : 1,677.34 = 535.29 : x
2. Step 2: Convert to fraction form
   1,119.72/1,677.34 = 535.29/x
3. Step 3: Cross multiply
   1,119.72x = 1,677.34 × 535.29
4. Step 4: Simplify right side
   1,119.72x = 897,852.27
5. Step 5: Solve for x
   x = 897,852.27/1,119.72
6. Step 6: Final answer
   x = 801.85