Finding the Fourth Proportional to 10,123.49, 13,970.49 and 5,647.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,123.49 : 13,970.49 = 5,647.53 : x
2. Step 2: Convert to fraction form
   10,123.49/13,970.49 = 5,647.53/x
3. Step 3: Cross multiply
   10,123.49x = 13,970.49 × 5,647.53
4. Step 4: Simplify right side
   10,123.49x = 78,898,761.39
5. Step 5: Solve for x
   x = 78,898,761.39/10,123.49
6. Step 6: Final answer
   x = 7,793.63