Finding the Fourth Proportional to 7,784.08, 10,738.60 and 5,265.27

Step by Step Solution

1. Step 1: Write the proportion equation
   7,784.08 : 10,738.60 = 5,265.27 : x
2. Step 2: Convert to fraction form
   7,784.08/10,738.60 = 5,265.27/x
3. Step 3: Cross multiply
   7,784.08x = 10,738.60 × 5,265.27
4. Step 4: Simplify right side
   7,784.08x = 56,541,628.42
5. Step 5: Solve for x
   x = 56,541,628.42/7,784.08
6. Step 6: Final answer
   x = 7,263.75