Finding the Fourth Proportional to 13,837.57, 19,096.06 and 7,549.94

Step by Step Solution

1. Step 1: Write the proportion equation
   13,837.57 : 19,096.06 = 7,549.94 : x
2. Step 2: Convert to fraction form
   13,837.57/19,096.06 = 7,549.94/x
3. Step 3: Cross multiply
   13,837.57x = 19,096.06 × 7,549.94
4. Step 4: Simplify right side
   13,837.57x = 144,174,107.24
5. Step 5: Solve for x
   x = 144,174,107.24/13,837.57
6. Step 6: Final answer
   x = 10,419.03