Finding the Fourth Proportional to 10,083.15, 13,914.72 and 5,606.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,083.15 : 13,914.72 = 5,606.96 : x
2. Step 2: Convert to fraction form
   10,083.15/13,914.72 = 5,606.96/x
3. Step 3: Cross multiply
   10,083.15x = 13,914.72 × 5,606.96
4. Step 4: Simplify right side
   10,083.15x = 78,019,208.88
5. Step 5: Solve for x
   x = 78,019,208.88/10,083.15
6. Step 6: Final answer
   x = 7,737.58