Finding the Fourth Proportional to 10,535.67, 14,538.69 and 5,819.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,535.67 : 14,538.69 = 5,819.04 : x
2. Step 2: Convert to fraction form
   10,535.67/14,538.69 = 5,819.04/x
3. Step 3: Cross multiply
   10,535.67x = 14,538.69 × 5,819.04
4. Step 4: Simplify right side
   10,535.67x = 84,601,218.66
5. Step 5: Solve for x
   x = 84,601,218.66/10,535.67
6. Step 6: Final answer
   x = 8,029.98