Finding the Fourth Proportional to 1,464.72, 2,021.24 and 835.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.72 : 2,021.24 = 835.16 : x
2. Step 2: Convert to fraction form
   1,464.72/2,021.24 = 835.16/x
3. Step 3: Cross multiply
   1,464.72x = 2,021.24 × 835.16
4. Step 4: Simplify right side
   1,464.72x = 1,688,044.52
5. Step 5: Solve for x
   x = 1,688,044.52/1,464.72
6. Step 6: Final answer
   x = 1,152.47