Finding the Fourth Proportional to 7,859.55, 10,838.76 and 5,166.00

Step by Step Solution

1. Step 1: Write the proportion equation
   7,859.55 : 10,838.76 = 5,166.00 : x
2. Step 2: Convert to fraction form
   7,859.55/10,838.76 = 5,166.00/x
3. Step 3: Cross multiply
   7,859.55x = 10,838.76 × 5,166.00
4. Step 4: Simplify right side
   7,859.55x = 55,993,067.78
5. Step 5: Solve for x
   x = 55,993,067.78/7,859.55
6. Step 6: Final answer
   x = 7,124.21