Finding the Fourth Proportional to 10,574.24, 14,592.90 and 5,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,574.24 : 14,592.90 = 5,858.50 : x
2. Step 2: Convert to fraction form
   10,574.24/14,592.90 = 5,858.50/x
3. Step 3: Cross multiply
   10,574.24x = 14,592.90 × 5,858.50
4. Step 4: Simplify right side
   10,574.24x = 85,492,504.65
5. Step 5: Solve for x
   x = 85,492,504.65/10,574.24
6. Step 6: Final answer
   x = 8,084.98