Finding the Fourth Proportional to 1,978.56, 2,966.22 and 825.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.56 : 2,966.22 = 825.12 : x
2. Step 2: Convert to fraction form
   1,978.56/2,966.22 = 825.12/x
3. Step 3: Cross multiply
   1,978.56x = 2,966.22 × 825.12
4. Step 4: Simplify right side
   1,978.56x = 2,447,487.45
5. Step 5: Solve for x
   x = 2,447,487.45/1,978.56
6. Step 6: Final answer
   x = 1,237.00