Finding the Fourth Proportional to 13,823, 19,075.74 and 7,535.42

Step by Step Solution

1. Step 1: Write the proportion equation
   13,823 : 19,075.74 = 7,535.42 : x
2. Step 2: Convert to fraction form
   13,823/19,075.74 = 7,535.42/x
3. Step 3: Cross multiply
   13,823x = 19,075.74 × 7,535.42
4. Step 4: Simplify right side
   13,823x = 143,743,712.71
5. Step 5: Solve for x
   x = 143,743,712.71/13,823
6. Step 6: Final answer
   x = 10,398.88