Finding the Fourth Proportional to 10,535.37, 14,538.72 and 5,819.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,535.37 : 14,538.72 = 5,819.64 : x
2. Step 2: Convert to fraction form
   10,535.37/14,538.72 = 5,819.64/x
3. Step 3: Cross multiply
   10,535.37x = 14,538.72 × 5,819.64
4. Step 4: Simplify right side
   10,535.37x = 84,610,116.46
5. Step 5: Solve for x
   x = 84,610,116.46/10,535.37
6. Step 6: Final answer
   x = 8,031.05