Finding the Fourth Proportional to 76,614.67, 105,729.05 and 42,159.86

Step by Step Solution

1. Step 1: Write the proportion equation
   76,614.67 : 105,729.05 = 42,159.86 : x
2. Step 2: Convert to fraction form
   76,614.67/105,729.05 = 42,159.86/x
3. Step 3: Cross multiply
   76,614.67x = 105,729.05 × 42,159.86
4. Step 4: Simplify right side
   76,614.67x = 4,457,521,945.93
5. Step 5: Solve for x
   x = 4,457,521,945.93/76,614.67
6. Step 6: Final answer
   x = 58,181.05