Finding the Fourth Proportional to 1,458.37, 2,012.61 and 828.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,458.37 : 2,012.61 = 828.67 : x
2. Step 2: Convert to fraction form
   1,458.37/2,012.61 = 828.67/x
3. Step 3: Cross multiply
   1,458.37x = 2,012.61 × 828.67
4. Step 4: Simplify right side
   1,458.37x = 1,667,789.53
5. Step 5: Solve for x
   x = 1,667,789.53/1,458.37
6. Step 6: Final answer
   x = 1,143.60