Finding the Fourth Proportional to 10,205.78, 14,085.05 and 5,729.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205.78 : 14,085.05 = 5,729.27 : x
2. Step 2: Convert to fraction form
   10,205.78/14,085.05 = 5,729.27/x
3. Step 3: Cross multiply
   10,205.78x = 14,085.05 × 5,729.27
4. Step 4: Simplify right side
   10,205.78x = 80,696,955.34
5. Step 5: Solve for x
   x = 80,696,955.34/10,205.78
6. Step 6: Final answer
   x = 7,906.99