Finding the Fourth Proportional to 76,978.82, 106,224.71 and 42,984.65

Step by Step Solution

1. Step 1: Write the proportion equation
   76,978.82 : 106,224.71 = 42,984.65 : x
2. Step 2: Convert to fraction form
   76,978.82/106,224.71 = 42,984.65/x
3. Step 3: Cross multiply
   76,978.82x = 106,224.71 × 42,984.65
4. Step 4: Simplify right side
   76,978.82x = 4,566,031,234.65
5. Step 5: Solve for x
   x = 4,566,031,234.65/76,978.82
6. Step 6: Final answer
   x = 59,315.43