Finding the Fourth Proportional to 10,078.86, 13,908.91 and 5,541.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.86 : 13,908.91 = 5,541.63 : x
2. Step 2: Convert to fraction form
   10,078.86/13,908.91 = 5,541.63/x
3. Step 3: Cross multiply
   10,078.86x = 13,908.91 × 5,541.63
4. Step 4: Simplify right side
   10,078.86x = 77,077,977.30
5. Step 5: Solve for x
   x = 77,077,977.30/10,078.86
6. Step 6: Final answer
   x = 7,647.49