Finding the Fourth Proportional to 1,464.52, 2,196.92 and 586.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.52 : 2,196.92 = 586.82 : x
2. Step 2: Convert to fraction form
   1,464.52/2,196.92 = 586.82/x
3. Step 3: Cross multiply
   1,464.52x = 2,196.92 × 586.82
4. Step 4: Simplify right side
   1,464.52x = 1,289,196.59
5. Step 5: Solve for x
   x = 1,289,196.59/1,464.52
6. Step 6: Final answer
   x = 880.29