Finding the Fourth Proportional to 1,424.64, 1,965.89 and 827.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,424.64 : 1,965.89 = 827.01 : x
2. Step 2: Convert to fraction form
   1,424.64/1,965.89 = 827.01/x
3. Step 3: Cross multiply
   1,424.64x = 1,965.89 × 827.01
4. Step 4: Simplify right side
   1,424.64x = 1,625,806.55
5. Step 5: Solve for x
   x = 1,625,806.55/1,424.64
6. Step 6: Final answer
   x = 1,141.21