Finding the Fourth Proportional to 9,872.34, 13,623.78 and 5,623.17

Step by Step Solution

1. Step 1: Write the proportion equation
   9,872.34 : 13,623.78 = 5,623.17 : x
2. Step 2: Convert to fraction form
   9,872.34/13,623.78 = 5,623.17/x
3. Step 3: Cross multiply
   9,872.34x = 13,623.78 × 5,623.17
4. Step 4: Simplify right side
   9,872.34x = 76,608,830.98
5. Step 5: Solve for x
   x = 76,608,830.98/9,872.34
6. Step 6: Final answer
   x = 7,759.95