Finding the Fourth Proportional to 10,535.14, 14,538.39 and 5,819.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,535.14 : 14,538.39 = 5,819.32 : x
2. Step 2: Convert to fraction form
   10,535.14/14,538.39 = 5,819.32/x
3. Step 3: Cross multiply
   10,535.14x = 14,538.39 × 5,819.32
4. Step 4: Simplify right side
   10,535.14x = 84,603,543.69
5. Step 5: Solve for x
   x = 84,603,543.69/10,535.14
6. Step 6: Final answer
   x = 8,030.60