Finding the Fourth Proportional to 2,084.56, 3,127.62 and 974.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.56 : 3,127.62 = 974.61 : x
2. Step 2: Convert to fraction form
   2,084.56/3,127.62 = 974.61/x
3. Step 3: Cross multiply
   2,084.56x = 3,127.62 × 974.61
4. Step 4: Simplify right side
   2,084.56x = 3,048,209.73
5. Step 5: Solve for x
   x = 3,048,209.73/2,084.56
6. Step 6: Final answer
   x = 1,462.28