Finding the Fourth Proportional to 82,824, 114,291.24 and 47,014.72

Step by Step Solution

1. Step 1: Write the proportion equation
   82,824 : 114,291.24 = 47,014.72 : x
2. Step 2: Convert to fraction form
   82,824/114,291.24 = 47,014.72/x
3. Step 3: Cross multiply
   82,824x = 114,291.24 × 47,014.72
4. Step 4: Simplify right side
   82,824x = 5,373,370,647.05
5. Step 5: Solve for x
   x = 5,373,370,647.05/82,824
6. Step 6: Final answer
   x = 64,876.98