Finding the Fourth Proportional to 7,780.17, 10,745.59 and 5,665.16

Step by Step Solution

1. Step 1: Write the proportion equation
   7,780.17 : 10,745.59 = 5,665.16 : x
2. Step 2: Convert to fraction form
   7,780.17/10,745.59 = 5,665.16/x
3. Step 3: Cross multiply
   7,780.17x = 10,745.59 × 5,665.16
4. Step 4: Simplify right side
   7,780.17x = 60,875,432.92
5. Step 5: Solve for x
   x = 60,875,432.92/7,780.17
6. Step 6: Final answer
   x = 7,824.43