Finding the Fourth Proportional to 6,665.12, 9,189.30 and 5,465.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,665.12 : 9,189.30 = 5,465.78 : x
2. Step 2: Convert to fraction form
   6,665.12/9,189.30 = 5,465.78/x
3. Step 3: Cross multiply
   6,665.12x = 9,189.30 × 5,465.78
4. Step 4: Simplify right side
   6,665.12x = 50,226,692.15
5. Step 5: Solve for x
   x = 50,226,692.15/6,665.12
6. Step 6: Final answer
   x = 7,535.75