Finding the Fourth Proportional to 9,742.52, 14,626.73 and 5,128.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742.52 : 14,626.73 = 5,128.76 : x
2. Step 2: Convert to fraction form
   9,742.52/14,626.73 = 5,128.76/x
3. Step 3: Cross multiply
   9,742.52x = 14,626.73 × 5,128.76
4. Step 4: Simplify right side
   9,742.52x = 75,016,987.75
5. Step 5: Solve for x
   x = 75,016,987.75/9,742.52
6. Step 6: Final answer
   x = 7,699.96