Finding the Fourth Proportional to 13,823.10, 19,075.83 and 7,535.47

Step by Step Solution

1. Step 1: Write the proportion equation
   13,823.10 : 19,075.83 = 7,535.47 : x
2. Step 2: Convert to fraction form
   13,823.10/19,075.83 = 7,535.47/x
3. Step 3: Cross multiply
   13,823.10x = 19,075.83 × 7,535.47
4. Step 4: Simplify right side
   13,823.10x = 143,745,344.69
5. Step 5: Solve for x
   x = 143,745,344.69/13,823.10
6. Step 6: Final answer
   x = 10,398.92