Finding the Fourth Proportional to 10,535.59, 14,538.37 and 5,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,535.59 : 14,538.37 = 5,819.50 : x
2. Step 2: Convert to fraction form
   10,535.59/14,538.37 = 5,819.50/x
3. Step 3: Cross multiply
   10,535.59x = 14,538.37 × 5,819.50
4. Step 4: Simplify right side
   10,535.59x = 84,606,044.22
5. Step 5: Solve for x
   x = 84,606,044.22/10,535.59
6. Step 6: Final answer
   x = 8,030.50