Finding the Fourth Proportional to 10,535.85, 14,538.42 and 5,819.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,535.85 : 14,538.42 = 5,819.83 : x
2. Step 2: Convert to fraction form
   10,535.85/14,538.42 = 5,819.83/x
3. Step 3: Cross multiply
   10,535.85x = 14,538.42 × 5,819.83
4. Step 4: Simplify right side
   10,535.85x = 84,611,096.52
5. Step 5: Solve for x
   x = 84,611,096.52/10,535.85
6. Step 6: Final answer
   x = 8,030.78