Finding the Fourth Proportional to 9,422.50, 13,004.25 and 5,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,422.50 : 13,004.25 = 5,696.50 : x
2. Step 2: Convert to fraction form
   9,422.50/13,004.25 = 5,696.50/x
3. Step 3: Cross multiply
   9,422.50x = 13,004.25 × 5,696.50
4. Step 4: Simplify right side
   9,422.50x = 74,078,710.13
5. Step 5: Solve for x
   x = 74,078,710.13/9,422.50
6. Step 6: Final answer
   x = 7,861.90