Finding the Fourth Proportional to 9,851.76, 13,597.20 and 5,659.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,851.76 : 13,597.20 = 5,659.92 : x
2. Step 2: Convert to fraction form
   9,851.76/13,597.20 = 5,659.92/x
3. Step 3: Cross multiply
   9,851.76x = 13,597.20 × 5,659.92
4. Step 4: Simplify right side
   9,851.76x = 76,959,064.22
5. Step 5: Solve for x
   x = 76,959,064.22/9,851.76
6. Step 6: Final answer
   x = 7,811.71