Finding the Fourth Proportional to 96,538.10, 144,634.35 and 82,714.10

Step by Step Solution

1. Step 1: Write the proportion equation
   96,538.10 : 144,634.35 = 82,714.10 : x
2. Step 2: Convert to fraction form
   96,538.10/144,634.35 = 82,714.10/x
3. Step 3: Cross multiply
   96,538.10x = 144,634.35 × 82,714.10
4. Step 4: Simplify right side
   96,538.10x = 11,963,300,089.34
5. Step 5: Solve for x
   x = 11,963,300,089.34/96,538.10
6. Step 6: Final answer
   x = 123,923.09