Finding the Fourth Proportional to 10,123.95, 13,971.30 and 5,647.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,123.95 : 13,971.30 = 5,647.67 : x
2. Step 2: Convert to fraction form
   10,123.95/13,971.30 = 5,647.67/x
3. Step 3: Cross multiply
   10,123.95x = 13,971.30 × 5,647.67
4. Step 4: Simplify right side
   10,123.95x = 78,905,291.87
5. Step 5: Solve for x
   x = 78,905,291.87/10,123.95
6. Step 6: Final answer
   x = 7,793.92