Finding the Fourth Proportional to 1,464.89, 2,021.39 and 835.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.89 : 2,021.39 = 835.35 : x
2. Step 2: Convert to fraction form
   1,464.89/2,021.39 = 835.35/x
3. Step 3: Cross multiply
   1,464.89x = 2,021.39 × 835.35
4. Step 4: Simplify right side
   1,464.89x = 1,688,559.51
5. Step 5: Solve for x
   x = 1,688,559.51/1,464.89
6. Step 6: Final answer
   x = 1,152.69