Finding the Fourth Proportional to 78,234.32, 107,982.72 and 51,413.24

Step by Step Solution

1. Step 1: Write the proportion equation
   78,234.32 : 107,982.72 = 51,413.24 : x
2. Step 2: Convert to fraction form
   78,234.32/107,982.72 = 51,413.24/x
3. Step 3: Cross multiply
   78,234.32x = 107,982.72 × 51,413.24
4. Step 4: Simplify right side
   78,234.32x = 5,551,741,499.21
5. Step 5: Solve for x
   x = 5,551,741,499.21/78,234.32
6. Step 6: Final answer
   x = 70,962.99