Finding the Fourth Proportional to 10,123.46, 15,188.16 and 5,196.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,123.46 : 15,188.16 = 5,196.54 : x
2. Step 2: Convert to fraction form
   10,123.46/15,188.16 = 5,196.54/x
3. Step 3: Cross multiply
   10,123.46x = 15,188.16 × 5,196.54
4. Step 4: Simplify right side
   10,123.46x = 78,925,880.97
5. Step 5: Solve for x
   x = 78,925,880.97/10,123.46
6. Step 6: Final answer
   x = 7,796.33