Finding the Fourth Proportional to 10,123.98, 13,970.07 and 5,647.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,123.98 : 13,970.07 = 5,647.38 : x
2. Step 2: Convert to fraction form
   10,123.98/13,970.07 = 5,647.38/x
3. Step 3: Cross multiply
   10,123.98x = 13,970.07 × 5,647.38
4. Step 4: Simplify right side
   10,123.98x = 78,894,293.92
5. Step 5: Solve for x
   x = 78,894,293.92/10,123.98
6. Step 6: Final answer
   x = 7,792.81