Finding the Fourth Proportional to 1,464.89, 2,021.54 and 875.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.89 : 2,021.54 = 875.40 : x
2. Step 2: Convert to fraction form
   1,464.89/2,021.54 = 875.40/x
3. Step 3: Cross multiply
   1,464.89x = 2,021.54 × 875.40
4. Step 4: Simplify right side
   1,464.89x = 1,769,651.74
5. Step 5: Solve for x
   x = 1,769,651.74/1,464.89
6. Step 6: Final answer
   x = 1,208.05