Finding the Fourth Proportional to 5,770.17, 7,910.93 and 5,665.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,770.17 : 7,910.93 = 5,665.10 : x
2. Step 2: Convert to fraction form
   5,770.17/7,910.93 = 5,665.10/x
3. Step 3: Cross multiply
   5,770.17x = 7,910.93 × 5,665.10
4. Step 4: Simplify right side
   5,770.17x = 44,816,184.15
5. Step 5: Solve for x
   x = 44,816,184.15/5,770.17
6. Step 6: Final answer
   x = 7,766.87