Finding the Fourth Proportional to 7,782.00, 10,738.72 and 4,424.35

Step by Step Solution

1. Step 1: Write the proportion equation
   7,782.00 : 10,738.72 = 4,424.35 : x
2. Step 2: Convert to fraction form
   7,782.00/10,738.72 = 4,424.35/x
3. Step 3: Cross multiply
   7,782.00x = 10,738.72 × 4,424.35
4. Step 4: Simplify right side
   7,782.00x = 47,511,780.02
5. Step 5: Solve for x
   x = 47,511,780.02/7,782.00
6. Step 6: Final answer
   x = 6,105.35