Finding the Fourth Proportional to 9,706.30, 13,393.58 and 5,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,706.30 : 13,393.58 = 5,456.50 : x
2. Step 2: Convert to fraction form
   9,706.30/13,393.58 = 5,456.50/x
3. Step 3: Cross multiply
   9,706.30x = 13,393.58 × 5,456.50
4. Step 4: Simplify right side
   9,706.30x = 73,082,069.27
5. Step 5: Solve for x
   x = 73,082,069.27/9,706.30
6. Step 6: Final answer
   x = 7,529.34