Finding the Fourth Proportional to 76,771.89, 105,943.61 and 42,780.24

Step by Step Solution

1. Step 1: Write the proportion equation
   76,771.89 : 105,943.61 = 42,780.24 : x
2. Step 2: Convert to fraction form
   76,771.89/105,943.61 = 42,780.24/x
3. Step 3: Cross multiply
   76,771.89x = 105,943.61 × 42,780.24
4. Step 4: Simplify right side
   76,771.89x = 4,532,293,169.22
5. Step 5: Solve for x
   x = 4,532,293,169.22/76,771.89
6. Step 6: Final answer
   x = 59,035.84