Finding the Fourth Proportional to 49,978.64, 74,964.76 and 18,413.20

Step by Step Solution

1. Step 1: Write the proportion equation
   49,978.64 : 74,964.76 = 18,413.20 : x
2. Step 2: Convert to fraction form
   49,978.64/74,964.76 = 18,413.20/x
3. Step 3: Cross multiply
   49,978.64x = 74,964.76 × 18,413.20
4. Step 4: Simplify right side
   49,978.64x = 1,380,341,118.83
5. Step 5: Solve for x
   x = 1,380,341,118.83/49,978.64
6. Step 6: Final answer
   x = 27,618.62