Finding the Fourth Proportional to 1,464.82, 2,196.45 and 540.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.82 : 2,196.45 = 540.05 : x
2. Step 2: Convert to fraction form
   1,464.82/2,196.45 = 540.05/x
3. Step 3: Cross multiply
   1,464.82x = 2,196.45 × 540.05
4. Step 4: Simplify right side
   1,464.82x = 1,186,181.84
5. Step 5: Solve for x
   x = 1,186,181.84/1,464.82
6. Step 6: Final answer
   x = 809.78