Finding the Fourth Proportional to 10,535.13, 14,538.69 and 5,819.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,535.13 : 14,538.69 = 5,819.58 : x
2. Step 2: Convert to fraction form
   10,535.13/14,538.69 = 5,819.58/x
3. Step 3: Cross multiply
   10,535.13x = 14,538.69 × 5,819.58
4. Step 4: Simplify right side
   10,535.13x = 84,609,069.55
5. Step 5: Solve for x
   x = 84,609,069.55/10,535.13
6. Step 6: Final answer
   x = 8,031.14