Finding the Fourth Proportional to 10,114.78, 13,963.34 and 7,841

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.78 : 13,963.34 = 7,841 : x
2. Step 2: Convert to fraction form
   10,114.78/13,963.34 = 7,841/x
3. Step 3: Cross multiply
   10,114.78x = 13,963.34 × 7,841
4. Step 4: Simplify right side
   10,114.78x = 109,486,548.94
5. Step 5: Solve for x
   x = 109,486,548.94/10,114.78
6. Step 6: Final answer
   x = 10,824.41