Finding the Fourth Proportional to 7,826.42, 10,799.86 and 4,468.77

Step by Step Solution

1. Step 1: Write the proportion equation
   7,826.42 : 10,799.86 = 4,468.77 : x
2. Step 2: Convert to fraction form
   7,826.42/10,799.86 = 4,468.77/x
3. Step 3: Cross multiply
   7,826.42x = 10,799.86 × 4,468.77
4. Step 4: Simplify right side
   7,826.42x = 48,262,075.01
5. Step 5: Solve for x
   x = 48,262,075.01/7,826.42
6. Step 6: Final answer
   x = 6,166.56