Finding the Fourth Proportional to 10,083.33, 13,914.93 and 5,606.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,083.33 : 13,914.93 = 5,606.82 : x
2. Step 2: Convert to fraction form
   10,083.33/13,914.93 = 5,606.82/x
3. Step 3: Cross multiply
   10,083.33x = 13,914.93 × 5,606.82
4. Step 4: Simplify right side
   10,083.33x = 78,018,507.82
5. Step 5: Solve for x
   x = 78,018,507.82/10,083.33
6. Step 6: Final answer
   x = 7,737.38