Finding the Fourth Proportional to 10,535.94, 14,538.83 and 5,820.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,535.94 : 14,538.83 = 5,820.53 : x
2. Step 2: Convert to fraction form
   10,535.94/14,538.83 = 5,820.53/x
3. Step 3: Cross multiply
   10,535.94x = 14,538.83 × 5,820.53
4. Step 4: Simplify right side
   10,535.94x = 84,623,594.38
5. Step 5: Solve for x
   x = 84,623,594.38/10,535.94
6. Step 6: Final answer
   x = 8,031.90