Finding the Fourth Proportional to 2,001.46, 3,002.06 and 830.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,001.46 : 3,002.06 = 830.74 : x
2. Step 2: Convert to fraction form
   2,001.46/3,002.06 = 830.74/x
3. Step 3: Cross multiply
   2,001.46x = 3,002.06 × 830.74
4. Step 4: Simplify right side
   2,001.46x = 2,493,931.32
5. Step 5: Solve for x
   x = 2,493,931.32/2,001.46
6. Step 6: Final answer
   x = 1,246.06