Finding the Fourth Proportional to 13,868.31, 19,138.41 and 7,580.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,868.31 : 19,138.41 = 7,580.69 : x
2. Step 2: Convert to fraction form
   13,868.31/19,138.41 = 7,580.69/x
3. Step 3: Cross multiply
   13,868.31x = 19,138.41 × 7,580.69
4. Step 4: Simplify right side
   13,868.31x = 145,082,257.61
5. Step 5: Solve for x
   x = 145,082,257.61/13,868.31
6. Step 6: Final answer
   x = 10,461.42