Finding the Fourth Proportional to 10,535.43, 14,538.62 and 5,819.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,535.43 : 14,538.62 = 5,819.61 : x
2. Step 2: Convert to fraction form
   10,535.43/14,538.62 = 5,819.61/x
3. Step 3: Cross multiply
   10,535.43x = 14,538.62 × 5,819.61
4. Step 4: Simplify right side
   10,535.43x = 84,609,098.34
5. Step 5: Solve for x
   x = 84,609,098.34/10,535.43
6. Step 6: Final answer
   x = 8,030.91