Finding the Fourth Proportional to 9,169.50, 12,651.80 and 5,189.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,169.50 : 12,651.80 = 5,189.74 : x
2. Step 2: Convert to fraction form
   9,169.50/12,651.80 = 5,189.74/x
3. Step 3: Cross multiply
   9,169.50x = 12,651.80 × 5,189.74
4. Step 4: Simplify right side
   9,169.50x = 65,659,565.51
5. Step 5: Solve for x
   x = 65,659,565.51/9,169.50
6. Step 6: Final answer
   x = 7,160.65