Finding the Fourth Proportional to 6,410.83, 8,838.72 and 5,256.77

Step by Step Solution

1. Step 1: Write the proportion equation
   6,410.83 : 8,838.72 = 5,256.77 : x
2. Step 2: Convert to fraction form
   6,410.83/8,838.72 = 5,256.77/x
3. Step 3: Cross multiply
   6,410.83x = 8,838.72 × 5,256.77
4. Step 4: Simplify right side
   6,410.83x = 46,463,163.30
5. Step 5: Solve for x
   x = 46,463,163.30/6,410.83
6. Step 6: Final answer
   x = 7,247.60