Finding the Fourth Proportional to 76,106.50, 105,023.25 and 42,114.35

Step by Step Solution

1. Step 1: Write the proportion equation
   76,106.50 : 105,023.25 = 42,114.35 : x
2. Step 2: Convert to fraction form
   76,106.50/105,023.25 = 42,114.35/x
3. Step 3: Cross multiply
   76,106.50x = 105,023.25 × 42,114.35
4. Step 4: Simplify right side
   76,106.50x = 4,422,986,171.20
5. Step 5: Solve for x
   x = 4,422,986,171.20/76,106.50
6. Step 6: Final answer
   x = 58,115.75