Finding the Fourth Proportional to 10,572.69, 14,590.88 and 5,857

Step by Step Solution

1. Step 1: Write the proportion equation
   10,572.69 : 14,590.88 = 5,857 : x
2. Step 2: Convert to fraction form
   10,572.69/14,590.88 = 5,857/x
3. Step 3: Cross multiply
   10,572.69x = 14,590.88 × 5,857
4. Step 4: Simplify right side
   10,572.69x = 85,458,784.16
5. Step 5: Solve for x
   x = 85,458,784.16/10,572.69
6. Step 6: Final answer
   x = 8,082.97