Finding the Fourth Proportional to 9,766.01, 13,477.10 and 5,289.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.01 : 13,477.10 = 5,289.77 : x
2. Step 2: Convert to fraction form
   9,766.01/13,477.10 = 5,289.77/x
3. Step 3: Cross multiply
   9,766.01x = 13,477.10 × 5,289.77
4. Step 4: Simplify right side
   9,766.01x = 71,290,665.43
5. Step 5: Solve for x
   x = 71,290,665.43/9,766.01
6. Step 6: Final answer
   x = 7,299.88