Finding the Fourth Proportional to 13,913.73, 19,200.78 and 7,540.29

Step by Step Solution

1. Step 1: Write the proportion equation
   13,913.73 : 19,200.78 = 7,540.29 : x
2. Step 2: Convert to fraction form
   13,913.73/19,200.78 = 7,540.29/x
3. Step 3: Cross multiply
   13,913.73x = 19,200.78 × 7,540.29
4. Step 4: Simplify right side
   13,913.73x = 144,779,449.43
5. Step 5: Solve for x
   x = 144,779,449.43/13,913.73
6. Step 6: Final answer
   x = 10,405.51