Finding the Fourth Proportional to 76,096.16, 105,012.96 and 42,560

Step by Step Solution

1. Step 1: Write the proportion equation
   76,096.16 : 105,012.96 = 42,560 : x
2. Step 2: Convert to fraction form
   76,096.16/105,012.96 = 42,560/x
3. Step 3: Cross multiply
   76,096.16x = 105,012.96 × 42,560
4. Step 4: Simplify right side
   76,096.16x = 4,469,351,577.60
5. Step 5: Solve for x
   x = 4,469,351,577.60/76,096.16
6. Step 6: Final answer
   x = 58,732.94