Finding the Fourth Proportional to 82,914.88, 114,422.92 and 47,106.86

Step by Step Solution

1. Step 1: Write the proportion equation
   82,914.88 : 114,422.92 = 47,106.86 : x
2. Step 2: Convert to fraction form
   82,914.88/114,422.92 = 47,106.86/x
3. Step 3: Cross multiply
   82,914.88x = 114,422.92 × 47,106.86
4. Step 4: Simplify right side
   82,914.88x = 5,390,104,473.23
5. Step 5: Solve for x
   x = 5,390,104,473.23/82,914.88
6. Step 6: Final answer
   x = 65,007.69