Finding the Fourth Proportional to 76,819.38, 106,011.16 and 42,830

Step by Step Solution

1. Step 1: Write the proportion equation
   76,819.38 : 106,011.16 = 42,830 : x
2. Step 2: Convert to fraction form
   76,819.38/106,011.16 = 42,830/x
3. Step 3: Cross multiply
   76,819.38x = 106,011.16 × 42,830
4. Step 4: Simplify right side
   76,819.38x = 4,540,457,982.80
5. Step 5: Solve for x
   x = 4,540,457,982.80/76,819.38
6. Step 6: Final answer
   x = 59,105.63