Finding the Fourth Proportional to 10,123.54, 13,970.56 and 6,142

Step by Step Solution

1. Step 1: Write the proportion equation
   10,123.54 : 13,970.56 = 6,142 : x
2. Step 2: Convert to fraction form
   10,123.54/13,970.56 = 6,142/x
3. Step 3: Cross multiply
   10,123.54x = 13,970.56 × 6,142
4. Step 4: Simplify right side
   10,123.54x = 85,807,179.52
5. Step 5: Solve for x
   x = 85,807,179.52/10,123.54
6. Step 6: Final answer
   x = 8,476.01