Finding the Fourth Proportional to 10,574.82, 14,593.50 and 5,859

Step by Step Solution

1. Step 1: Write the proportion equation
   10,574.82 : 14,593.50 = 5,859 : x
2. Step 2: Convert to fraction form
   10,574.82/14,593.50 = 5,859/x
3. Step 3: Cross multiply
   10,574.82x = 14,593.50 × 5,859
4. Step 4: Simplify right side
   10,574.82x = 85,503,316.50
5. Step 5: Solve for x
   x = 85,503,316.50/10,574.82
6. Step 6: Final answer
   x = 8,085.56