Finding the Fourth Proportional to 10,061.25, 13,884.77 and 5,645.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,061.25 : 13,884.77 = 5,645.25 : x
2. Step 2: Convert to fraction form
   10,061.25/13,884.77 = 5,645.25/x
3. Step 3: Cross multiply
   10,061.25x = 13,884.77 × 5,645.25
4. Step 4: Simplify right side
   10,061.25x = 78,382,969.62
5. Step 5: Solve for x
   x = 78,382,969.62/10,061.25
6. Step 6: Final answer
   x = 7,790.58