Finding the Fourth Proportional to 105,884.24, 146,121.96 and 58,142

Step by Step Solution

1. Step 1: Write the proportion equation
   105,884.24 : 146,121.96 = 58,142 : x
2. Step 2: Convert to fraction form
   105,884.24/146,121.96 = 58,142/x
3. Step 3: Cross multiply
   105,884.24x = 146,121.96 × 58,142
4. Step 4: Simplify right side
   105,884.24x = 8,495,822,998.32
5. Step 5: Solve for x
   x = 8,495,822,998.32/105,884.24
6. Step 6: Final answer
   x = 80,236.90