Finding the Fourth Proportional to 10,083.84, 13,915.80 and 5,892.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,083.84 : 13,915.80 = 5,892.09 : x
2. Step 2: Convert to fraction form
   10,083.84/13,915.80 = 5,892.09/x
3. Step 3: Cross multiply
   10,083.84x = 13,915.80 × 5,892.09
4. Step 4: Simplify right side
   10,083.84x = 81,993,146.02
5. Step 5: Solve for x
   x = 81,993,146.02/10,083.84
6. Step 6: Final answer
   x = 8,131.14