Finding the Fourth Proportional to 10,570.14, 14,586.69 and 5,790.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,570.14 : 14,586.69 = 5,790.12 : x
2. Step 2: Convert to fraction form
   10,570.14/14,586.69 = 5,790.12/x
3. Step 3: Cross multiply
   10,570.14x = 14,586.69 × 5,790.12
4. Step 4: Simplify right side
   10,570.14x = 84,458,685.50
5. Step 5: Solve for x
   x = 84,458,685.50/10,570.14
6. Step 6: Final answer
   x = 7,990.31