Finding the Fourth Proportional to 10,123, 13,972.30 and 5,709.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,123 : 13,972.30 = 5,709.56 : x
2. Step 2: Convert to fraction form
   10,123/13,972.30 = 5,709.56/x
3. Step 3: Cross multiply
   10,123x = 13,972.30 × 5,709.56
4. Step 4: Simplify right side
   10,123x = 79,775,685.19
5. Step 5: Solve for x
   x = 79,775,685.19/10,123
6. Step 6: Final answer
   x = 7,880.64