Finding the Fourth Proportional to 1,458.16, 2,012.24 and 828.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,458.16 : 2,012.24 = 828.72 : x
2. Step 2: Convert to fraction form
   1,458.16/2,012.24 = 828.72/x
3. Step 3: Cross multiply
   1,458.16x = 2,012.24 × 828.72
4. Step 4: Simplify right side
   1,458.16x = 1,667,583.53
5. Step 5: Solve for x
   x = 1,667,583.53/1,458.16
6. Step 6: Final answer
   x = 1,143.62