Finding the Fourth Proportional to 255,904.83, 383,843.42 and 78,412.37

Step by Step Solution

1. Step 1: Write the proportion equation
   255,904.83 : 383,843.42 = 78,412.37 : x
2. Step 2: Convert to fraction form
   255,904.83/383,843.42 = 78,412.37/x
3. Step 3: Cross multiply
   255,904.83x = 383,843.42 × 78,412.37
4. Step 4: Simplify right side
   255,904.83x = 30,098,069,959.83
5. Step 5: Solve for x
   x = 30,098,069,959.83/255,904.83
6. Step 6: Final answer
   x = 117,614.31