Finding the Fourth Proportional to 10,538.70, 14,543.56 and 5,822.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.70 : 14,543.56 = 5,822.98 : x
2. Step 2: Convert to fraction form
   10,538.70/14,543.56 = 5,822.98/x
3. Step 3: Cross multiply
   10,538.70x = 14,543.56 × 5,822.98
4. Step 4: Simplify right side
   10,538.70x = 84,686,859.01
5. Step 5: Solve for x
   x = 84,686,859.01/10,538.70
6. Step 6: Final answer
   x = 8,035.80