Finding the Fourth Proportional to 142,709.10, 214,096.05 and 83,514.30

Step by Step Solution

1. Step 1: Write the proportion equation
   142,709.10 : 214,096.05 = 83,514.30 : x
2. Step 2: Convert to fraction form
   142,709.10/214,096.05 = 83,514.30/x
3. Step 3: Cross multiply
   142,709.10x = 214,096.05 × 83,514.30
4. Step 4: Simplify right side
   142,709.10x = 17,880,081,748.52
5. Step 5: Solve for x
   x = 17,880,081,748.52/142,709.10
6. Step 6: Final answer
   x = 125,290.41