Finding the Fourth Proportional to 9,727.60, 13,423.54 and 5,749.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,727.60 : 13,423.54 = 5,749.08 : x
2. Step 2: Convert to fraction form
   9,727.60/13,423.54 = 5,749.08/x
3. Step 3: Cross multiply
   9,727.60x = 13,423.54 × 5,749.08
4. Step 4: Simplify right side
   9,727.60x = 77,173,005.34
5. Step 5: Solve for x
   x = 77,173,005.34/9,727.60
6. Step 6: Final answer
   x = 7,933.41