Finding the Fourth Proportional to 10,535.39, 14,538.66 and 5,819.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,535.39 : 14,538.66 = 5,819.57 : x
2. Step 2: Convert to fraction form
   10,535.39/14,538.66 = 5,819.57/x
3. Step 3: Cross multiply
   10,535.39x = 14,538.66 × 5,819.57
4. Step 4: Simplify right side
   10,535.39x = 84,608,749.58
5. Step 5: Solve for x
   x = 84,608,749.58/10,535.39
6. Step 6: Final answer
   x = 8,030.91