Finding the Fourth Proportional to 1,464.77, 2,021.61 and 835.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.77 : 2,021.61 = 835.29 : x
2. Step 2: Convert to fraction form
   1,464.77/2,021.61 = 835.29/x
3. Step 3: Cross multiply
   1,464.77x = 2,021.61 × 835.29
4. Step 4: Simplify right side
   1,464.77x = 1,688,630.62
5. Step 5: Solve for x
   x = 1,688,630.62/1,464.77
6. Step 6: Final answer
   x = 1,152.83