Finding the Fourth Proportional to 1,978.53, 2,967.74 and 824.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.53 : 2,967.74 = 824.25 : x
2. Step 2: Convert to fraction form
   1,978.53/2,967.74 = 824.25/x
3. Step 3: Cross multiply
   1,978.53x = 2,967.74 × 824.25
4. Step 4: Simplify right side
   1,978.53x = 2,446,155.57
5. Step 5: Solve for x
   x = 2,446,155.57/1,978.53
6. Step 6: Final answer
   x = 1,236.35