Finding the Fourth Proportional to 9,872.48, 13,623.80 and 5,506.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,872.48 : 13,623.80 = 5,506.38 : x
2. Step 2: Convert to fraction form
   9,872.48/13,623.80 = 5,506.38/x
3. Step 3: Cross multiply
   9,872.48x = 13,623.80 × 5,506.38
4. Step 4: Simplify right side
   9,872.48x = 75,017,792.31
5. Step 5: Solve for x
   x = 75,017,792.31/9,872.48
6. Step 6: Final answer
   x = 7,598.68