Finding the Fourth Proportional to 1,464.37, 2,021.57 and 1,132.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.37 : 2,021.57 = 1,132.05 : x
2. Step 2: Convert to fraction form
   1,464.37/2,021.57 = 1,132.05/x
3. Step 3: Cross multiply
   1,464.37x = 2,021.57 × 1,132.05
4. Step 4: Simplify right side
   1,464.37x = 2,288,518.32
5. Step 5: Solve for x
   x = 2,288,518.32/1,464.37
6. Step 6: Final answer
   x = 1,562.80