Finding the Fourth Proportional to 13,830.76, 19,086.24 and 7,543

Step by Step Solution

1. Step 1: Write the proportion equation
   13,830.76 : 19,086.24 = 7,543 : x
2. Step 2: Convert to fraction form
   13,830.76/19,086.24 = 7,543/x
3. Step 3: Cross multiply
   13,830.76x = 19,086.24 × 7,543
4. Step 4: Simplify right side
   13,830.76x = 143,967,508.32
5. Step 5: Solve for x
   x = 143,967,508.32/13,830.76
6. Step 6: Final answer
   x = 10,409.23