Finding the Fourth Proportional to 9,929.76, 13,703.40 and 5,738.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,929.76 : 13,703.40 = 5,738.02 : x
2. Step 2: Convert to fraction form
   9,929.76/13,703.40 = 5,738.02/x
3. Step 3: Cross multiply
   9,929.76x = 13,703.40 × 5,738.02
4. Step 4: Simplify right side
   9,929.76x = 78,630,383.27
5. Step 5: Solve for x
   x = 78,630,383.27/9,929.76
6. Step 6: Final answer
   x = 7,918.66