Finding the Fourth Proportional to 82,914.10, 114,421.82 and 47,106.09

Step by Step Solution

1. Step 1: Write the proportion equation
   82,914.10 : 114,421.82 = 47,106.09 : x
2. Step 2: Convert to fraction form
   82,914.10/114,421.82 = 47,106.09/x
3. Step 3: Cross multiply
   82,914.10x = 114,421.82 × 47,106.09
4. Step 4: Simplify right side
   82,914.10x = 5,389,964,315.35
5. Step 5: Solve for x
   x = 5,389,964,315.35/82,914.10
6. Step 6: Final answer
   x = 65,006.61