Finding the Fourth Proportional to 9,823.98, 13,557.14 and 5,347.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,823.98 : 13,557.14 = 5,347.80 : x
2. Step 2: Convert to fraction form
   9,823.98/13,557.14 = 5,347.80/x
3. Step 3: Cross multiply
   9,823.98x = 13,557.14 × 5,347.80
4. Step 4: Simplify right side
   9,823.98x = 72,500,873.29
5. Step 5: Solve for x
   x = 72,500,873.29/9,823.98
6. Step 6: Final answer
   x = 7,379.99