Finding the Fourth Proportional to 280,706.86, 421,086.87 and 78,316.42

Step by Step Solution

1. Step 1: Write the proportion equation
   280,706.86 : 421,086.87 = 78,316.42 : x
2. Step 2: Convert to fraction form
   280,706.86/421,086.87 = 78,316.42/x
3. Step 3: Cross multiply
   280,706.86x = 421,086.87 × 78,316.42
4. Step 4: Simplify right side
   280,706.86x = 32,978,016,167.41
5. Step 5: Solve for x
   x = 32,978,016,167.41/280,706.86
6. Step 6: Final answer
   x = 117,482.05