Finding the Fourth Proportional to 10,035.69, 13,850.97 and 5,785.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,035.69 : 13,850.97 = 5,785.98 : x
2. Step 2: Convert to fraction form
   10,035.69/13,850.97 = 5,785.98/x
3. Step 3: Cross multiply
   10,035.69x = 13,850.97 × 5,785.98
4. Step 4: Simplify right side
   10,035.69x = 80,141,435.40
5. Step 5: Solve for x
   x = 80,141,435.40/10,035.69
6. Step 6: Final answer
   x = 7,985.64