Finding the Fourth Proportional to 10,084.09, 13,914.00 and 5,891.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084.09 : 13,914.00 = 5,891.53 : x
2. Step 2: Convert to fraction form
   10,084.09/13,914.00 = 5,891.53/x
3. Step 3: Cross multiply
   10,084.09x = 13,914.00 × 5,891.53
4. Step 4: Simplify right side
   10,084.09x = 81,974,718.96
5. Step 5: Solve for x
   x = 81,974,718.96/10,084.09
6. Step 6: Final answer
   x = 8,129.11