Finding the Fourth Proportional to 13,865.34, 19,134.27 and 7,578.30

Step by Step Solution

1. Step 1: Write the proportion equation
   13,865.34 : 19,134.27 = 7,578.30 : x
2. Step 2: Convert to fraction form
   13,865.34/19,134.27 = 7,578.30/x
3. Step 3: Cross multiply
   13,865.34x = 19,134.27 × 7,578.30
4. Step 4: Simplify right side
   13,865.34x = 145,005,238.34
5. Step 5: Solve for x
   x = 145,005,238.34/13,865.34
6. Step 6: Final answer
   x = 10,458.11