Finding the Fourth Proportional to 13,830.86, 19,086.53 and 7,543.23

Step by Step Solution

1. Step 1: Write the proportion equation
   13,830.86 : 19,086.53 = 7,543.23 : x
2. Step 2: Convert to fraction form
   13,830.86/19,086.53 = 7,543.23/x
3. Step 3: Cross multiply
   13,830.86x = 19,086.53 × 7,543.23
4. Step 4: Simplify right side
   13,830.86x = 143,974,047.98
5. Step 5: Solve for x
   x = 143,974,047.98/13,830.86
6. Step 6: Final answer
   x = 10,409.63