Finding the Fourth Proportional to 10,056.78, 13,887.81 and 6,478.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056.78 : 13,887.81 = 6,478.02 : x
2. Step 2: Convert to fraction form
   10,056.78/13,887.81 = 6,478.02/x
3. Step 3: Cross multiply
   10,056.78x = 13,887.81 × 6,478.02
4. Step 4: Simplify right side
   10,056.78x = 89,965,510.94
5. Step 5: Solve for x
   x = 89,965,510.94/10,056.78
6. Step 6: Final answer
   x = 8,945.76