Finding the Fourth Proportional to 9,096.31, 13,630.56 and 6,123.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096.31 : 13,630.56 = 6,123.75 : x
2. Step 2: Convert to fraction form
   9,096.31/13,630.56 = 6,123.75/x
3. Step 3: Cross multiply
   9,096.31x = 13,630.56 × 6,123.75
4. Step 4: Simplify right side
   9,096.31x = 83,470,141.80
5. Step 5: Solve for x
   x = 83,470,141.80/9,096.31
6. Step 6: Final answer
   x = 9,176.26