Finding the Fourth Proportional to 13,830.89, 19,086.42 and 7,543.27

Step by Step Solution

1. Step 1: Write the proportion equation
   13,830.89 : 19,086.42 = 7,543.27 : x
2. Step 2: Convert to fraction form
   13,830.89/19,086.42 = 7,543.27/x
3. Step 3: Cross multiply
   13,830.89x = 19,086.42 × 7,543.27
4. Step 4: Simplify right side
   13,830.89x = 143,973,923.96
5. Step 5: Solve for x
   x = 143,973,923.96/13,830.89
6. Step 6: Final answer
   x = 10,409.59