Finding the Fourth Proportional to 7,859.66, 10,841.52 and 5,206.10

Step by Step Solution

1. Step 1: Write the proportion equation
   7,859.66 : 10,841.52 = 5,206.10 : x
2. Step 2: Convert to fraction form
   7,859.66/10,841.52 = 5,206.10/x
3. Step 3: Cross multiply
   7,859.66x = 10,841.52 × 5,206.10
4. Step 4: Simplify right side
   7,859.66x = 56,442,037.27
5. Step 5: Solve for x
   x = 56,442,037.27/7,859.66
6. Step 6: Final answer
   x = 7,181.23