Finding the Fourth Proportional to 1,420.24, 1,958.76 and 896.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,420.24 : 1,958.76 = 896.08 : x
2. Step 2: Convert to fraction form
   1,420.24/1,958.76 = 896.08/x
3. Step 3: Cross multiply
   1,420.24x = 1,958.76 × 896.08
4. Step 4: Simplify right side
   1,420.24x = 1,755,205.66
5. Step 5: Solve for x
   x = 1,755,205.66/1,420.24
6. Step 6: Final answer
   x = 1,235.85