Finding the Fourth Proportional to 10,076.10, 13,904.83 and 5,599.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,076.10 : 13,904.83 = 5,599.77 : x
2. Step 2: Convert to fraction form
   10,076.10/13,904.83 = 5,599.77/x
3. Step 3: Cross multiply
   10,076.10x = 13,904.83 × 5,599.77
4. Step 4: Simplify right side
   10,076.10x = 77,863,849.89
5. Step 5: Solve for x
   x = 77,863,849.89/10,076.10
6. Step 6: Final answer
   x = 7,727.58