Finding the Fourth Proportional to 10,538.82, 14,543.37 and 5,823

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.82 : 14,543.37 = 5,823 : x
2. Step 2: Convert to fraction form
   10,538.82/14,543.37 = 5,823/x
3. Step 3: Cross multiply
   10,538.82x = 14,543.37 × 5,823
4. Step 4: Simplify right side
   10,538.82x = 84,686,043.51
5. Step 5: Solve for x
   x = 84,686,043.51/10,538.82
6. Step 6: Final answer
   x = 8,035.63