Finding the Fourth Proportional to 256,369.54, 384,560.52 and 78,878.02

Step by Step Solution

1. Step 1: Write the proportion equation
   256,369.54 : 384,560.52 = 78,878.02 : x
2. Step 2: Convert to fraction form
   256,369.54/384,560.52 = 78,878.02/x
3. Step 3: Cross multiply
   256,369.54x = 384,560.52 × 78,878.02
4. Step 4: Simplify right side
   256,369.54x = 30,333,372,387.77
5. Step 5: Solve for x
   x = 30,333,372,387.77/256,369.54
6. Step 6: Final answer
   x = 118,318.94