Finding the Fourth Proportional to 9,849.44, 13,594.56 and 5,660.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,849.44 : 13,594.56 = 5,660.12 : x
2. Step 2: Convert to fraction form
   9,849.44/13,594.56 = 5,660.12/x
3. Step 3: Cross multiply
   9,849.44x = 13,594.56 × 5,660.12
4. Step 4: Simplify right side
   9,849.44x = 76,946,840.95
5. Step 5: Solve for x
   x = 76,946,840.95/9,849.44
6. Step 6: Final answer
   x = 7,812.31