Finding the Fourth Proportional to 10,083.88, 13,915.65 and 5,607.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,083.88 : 13,915.65 = 5,607.82 : x
2. Step 2: Convert to fraction form
   10,083.88/13,915.65 = 5,607.82/x
3. Step 3: Cross multiply
   10,083.88x = 13,915.65 × 5,607.82
4. Step 4: Simplify right side
   10,083.88x = 78,036,460.38
5. Step 5: Solve for x
   x = 78,036,460.38/10,083.88
6. Step 6: Final answer
   x = 7,738.73