Finding the Fourth Proportional to 9,957.42, 13,739.24 and 5,709.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,957.42 : 13,739.24 = 5,709.82 : x
2. Step 2: Convert to fraction form
   9,957.42/13,739.24 = 5,709.82/x
3. Step 3: Cross multiply
   9,957.42x = 13,739.24 × 5,709.82
4. Step 4: Simplify right side
   9,957.42x = 78,448,587.34
5. Step 5: Solve for x
   x = 78,448,587.34/9,957.42
6. Step 6: Final answer
   x = 7,878.40