Finding the Fourth Proportional to 9,120.20, 13,670.71 and 5,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,120.20 : 13,670.71 = 5,166.50 : x
2. Step 2: Convert to fraction form
   9,120.20/13,670.71 = 5,166.50/x
3. Step 3: Cross multiply
   9,120.20x = 13,670.71 × 5,166.50
4. Step 4: Simplify right side
   9,120.20x = 70,629,641.95
5. Step 5: Solve for x
   x = 70,629,641.95/9,120.20
6. Step 6: Final answer
   x = 7,744.31