Finding the Fourth Proportional to 9,842.34, 13,583.67 and 5,650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,842.34 : 13,583.67 = 5,650.50 : x
2. Step 2: Convert to fraction form
   9,842.34/13,583.67 = 5,650.50/x
3. Step 3: Cross multiply
   9,842.34x = 13,583.67 × 5,650.50
4. Step 4: Simplify right side
   9,842.34x = 76,754,527.34
5. Step 5: Solve for x
   x = 76,754,527.34/9,842.34
6. Step 6: Final answer
   x = 7,798.40