Finding the Fourth Proportional to 10,015.37, 13,820.25 and 5,765.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,015.37 : 13,820.25 = 5,765.30 : x
2. Step 2: Convert to fraction form
   10,015.37/13,820.25 = 5,765.30/x
3. Step 3: Cross multiply
   10,015.37x = 13,820.25 × 5,765.30
4. Step 4: Simplify right side
   10,015.37x = 79,677,887.33
5. Step 5: Solve for x
   x = 79,677,887.33/10,015.37
6. Step 6: Final answer
   x = 7,955.56