Finding the Fourth Proportional to 76,768.80, 105,948.75 and 42,782.82

Step by Step Solution

1. Step 1: Write the proportion equation
   76,768.80 : 105,948.75 = 42,782.82 : x
2. Step 2: Convert to fraction form
   76,768.80/105,948.75 = 42,782.82/x
3. Step 3: Cross multiply
   76,768.80x = 105,948.75 × 42,782.82
4. Step 4: Simplify right side
   76,768.80x = 4,532,786,300.48
5. Step 5: Solve for x
   x = 4,532,786,300.48/76,768.80
6. Step 6: Final answer
   x = 59,044.64