Finding the Fourth Proportional to 10,120, 15,182.56 and 2,824

Step by Step Solution

1. Step 1: Write the proportion equation
   10,120 : 15,182.56 = 2,824 : x
2. Step 2: Convert to fraction form
   10,120/15,182.56 = 2,824/x
3. Step 3: Cross multiply
   10,120x = 15,182.56 × 2,824
4. Step 4: Simplify right side
   10,120x = 42,875,549.44
5. Step 5: Solve for x
   x = 42,875,549.44/10,120
6. Step 6: Final answer
   x = 4,236.71