Finding the Fourth Proportional to 10,205.82, 14,084.28 and 5,729.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205.82 : 14,084.28 = 5,729.91 : x
2. Step 2: Convert to fraction form
   10,205.82/14,084.28 = 5,729.91/x
3. Step 3: Cross multiply
   10,205.82x = 14,084.28 × 5,729.91
4. Step 4: Simplify right side
   10,205.82x = 80,701,656.81
5. Step 5: Solve for x
   x = 80,701,656.81/10,205.82
6. Step 6: Final answer
   x = 7,907.42