Finding the Fourth Proportional to 10,538.82, 14,543.87 and 5,823.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.82 : 14,543.87 = 5,823.41 : x
2. Step 2: Convert to fraction form
   10,538.82/14,543.87 = 5,823.41/x
3. Step 3: Cross multiply
   10,538.82x = 14,543.87 × 5,823.41
4. Step 4: Simplify right side
   10,538.82x = 84,694,816.16
5. Step 5: Solve for x
   x = 84,694,816.16/10,538.82
6. Step 6: Final answer
   x = 8,036.46