Finding the Fourth Proportional to 7,665.84, 10,578.45 and 4,308.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,665.84 : 10,578.45 = 4,308.78 : x
2. Step 2: Convert to fraction form
   7,665.84/10,578.45 = 4,308.78/x
3. Step 3: Cross multiply
   7,665.84x = 10,578.45 × 4,308.78
4. Step 4: Simplify right side
   7,665.84x = 45,580,213.79
5. Step 5: Solve for x
   x = 45,580,213.79/7,665.84
6. Step 6: Final answer
   x = 5,945.89