Finding the Fourth Proportional to 9,653.50, 13,321.83 and 5,237.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,653.50 : 13,321.83 = 5,237.50 : x
2. Step 2: Convert to fraction form
   9,653.50/13,321.83 = 5,237.50/x
3. Step 3: Cross multiply
   9,653.50x = 13,321.83 × 5,237.50
4. Step 4: Simplify right side
   9,653.50x = 69,773,084.63
5. Step 5: Solve for x
   x = 69,773,084.63/9,653.50
6. Step 6: Final answer
   x = 7,227.75