Finding the Fourth Proportional to 13,914.18, 19,201.57 and 7,540.83

Step by Step Solution

1. Step 1: Write the proportion equation
   13,914.18 : 19,201.57 = 7,540.83 : x
2. Step 2: Convert to fraction form
   13,914.18/19,201.57 = 7,540.83/x
3. Step 3: Cross multiply
   13,914.18x = 19,201.57 × 7,540.83
4. Step 4: Simplify right side
   13,914.18x = 144,795,756.25
5. Step 5: Solve for x
   x = 144,795,756.25/13,914.18
6. Step 6: Final answer
   x = 10,406.34