Finding the Fourth Proportional to 76,089.92, 105,007.16 and 42,097.80

Step by Step Solution

1. Step 1: Write the proportion equation
   76,089.92 : 105,007.16 = 42,097.80 : x
2. Step 2: Convert to fraction form
   76,089.92/105,007.16 = 42,097.80/x
3. Step 3: Cross multiply
   76,089.92x = 105,007.16 × 42,097.80
4. Step 4: Simplify right side
   76,089.92x = 4,420,570,420.25
5. Step 5: Solve for x
   x = 4,420,570,420.25/76,089.92
6. Step 6: Final answer
   x = 58,096.66