Finding the Fourth Proportional to 1,155.24, 1,732.86 and 461.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.24 : 1,732.86 = 461.86 : x
2. Step 2: Convert to fraction form
   1,155.24/1,732.86 = 461.86/x
3. Step 3: Cross multiply
   1,155.24x = 1,732.86 × 461.86
4. Step 4: Simplify right side
   1,155.24x = 800,338.72
5. Step 5: Solve for x
   x = 800,338.72/1,155.24
6. Step 6: Final answer
   x = 692.79