Finding the Fourth Proportional to 76,142.10, 105,077.37 and 41,689.84

Step by Step Solution

1. Step 1: Write the proportion equation
   76,142.10 : 105,077.37 = 41,689.84 : x
2. Step 2: Convert to fraction form
   76,142.10/105,077.37 = 41,689.84/x
3. Step 3: Cross multiply
   76,142.10x = 105,077.37 × 41,689.84
4. Step 4: Simplify right side
   76,142.10x = 4,380,658,742.92
5. Step 5: Solve for x
   x = 4,380,658,742.92/76,142.10
6. Step 6: Final answer
   x = 57,532.68