Finding the Fourth Proportional to 256,132.63, 384,165.98 and 78,624.78

Step by Step Solution

1. Step 1: Write the proportion equation
   256,132.63 : 384,165.98 = 78,624.78 : x
2. Step 2: Convert to fraction form
   256,132.63/384,165.98 = 78,624.78/x
3. Step 3: Cross multiply
   256,132.63x = 384,165.98 × 78,624.78
4. Step 4: Simplify right side
   256,132.63x = 30,204,965,660.98
5. Step 5: Solve for x
   x = 30,204,965,660.98/256,132.63
6. Step 6: Final answer
   x = 117,927.05