Finding the Fourth Proportional to 7,081.50, 9,765.77 and 5,165.58

Step by Step Solution

1. Step 1: Write the proportion equation
   7,081.50 : 9,765.77 = 5,165.58 : x
2. Step 2: Convert to fraction form
   7,081.50/9,765.77 = 5,165.58/x
3. Step 3: Cross multiply
   7,081.50x = 9,765.77 × 5,165.58
4. Step 4: Simplify right side
   7,081.50x = 50,445,840.37
5. Step 5: Solve for x
   x = 50,445,840.37/7,081.50
6. Step 6: Final answer
   x = 7,123.61