Finding the Fourth Proportional to 9,719.62, 13,409.62 and 5,739.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,719.62 : 13,409.62 = 5,739.89 : x
2. Step 2: Convert to fraction form
   9,719.62/13,409.62 = 5,739.89/x
3. Step 3: Cross multiply
   9,719.62x = 13,409.62 × 5,739.89
4. Step 4: Simplify right side
   9,719.62x = 76,969,662.34
5. Step 5: Solve for x
   x = 76,969,662.34/9,719.62
6. Step 6: Final answer
   x = 7,919.00