Finding the Fourth Proportional to 9,824.10, 13,557.15 and 5,347.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,824.10 : 13,557.15 = 5,347.50 : x
2. Step 2: Convert to fraction form
   9,824.10/13,557.15 = 5,347.50/x
3. Step 3: Cross multiply
   9,824.10x = 13,557.15 × 5,347.50
4. Step 4: Simplify right side
   9,824.10x = 72,496,859.63
5. Step 5: Solve for x
   x = 72,496,859.63/9,824.10
6. Step 6: Final answer
   x = 7,379.49