Finding the Fourth Proportional to 10,083.16, 13,914.77 and 5,606.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,083.16 : 13,914.77 = 5,606.81 : x
2. Step 2: Convert to fraction form
   10,083.16/13,914.77 = 5,606.81/x
3. Step 3: Cross multiply
   10,083.16x = 13,914.77 × 5,606.81
4. Step 4: Simplify right side
   10,083.16x = 78,017,526.18
5. Step 5: Solve for x
   x = 78,017,526.18/10,083.16
6. Step 6: Final answer
   x = 7,737.41