Finding the Fourth Proportional to 9,824.89, 13,558.31 and 5,348.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,824.89 : 13,558.31 = 5,348.63 : x
2. Step 2: Convert to fraction form
   9,824.89/13,558.31 = 5,348.63/x
3. Step 3: Cross multiply
   9,824.89x = 13,558.31 × 5,348.63
4. Step 4: Simplify right side
   9,824.89x = 72,518,383.62
5. Step 5: Solve for x
   x = 72,518,383.62/9,824.89
6. Step 6: Final answer
   x = 7,381.09