Finding the Fourth Proportional to 7,259.82, 10,024.20 and 5,578.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,259.82 : 10,024.20 = 5,578.56 : x
2. Step 2: Convert to fraction form
   7,259.82/10,024.20 = 5,578.56/x
3. Step 3: Cross multiply
   7,259.82x = 10,024.20 × 5,578.56
4. Step 4: Simplify right side
   7,259.82x = 55,920,601.15
5. Step 5: Solve for x
   x = 55,920,601.15/7,259.82
6. Step 6: Final answer
   x = 7,702.75