Finding the Fourth Proportional to 10,123.50, 13,972.32 and 5,931.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,123.50 : 13,972.32 = 5,931.75 : x
2. Step 2: Convert to fraction form
   10,123.50/13,972.32 = 5,931.75/x
3. Step 3: Cross multiply
   10,123.50x = 13,972.32 × 5,931.75
4. Step 4: Simplify right side
   10,123.50x = 82,880,309.16
5. Step 5: Solve for x
   x = 82,880,309.16/10,123.50
6. Step 6: Final answer
   x = 8,186.92