Finding the Fourth Proportional to 10,574.31, 14,592.56 and 5,858.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,574.31 : 14,592.56 = 5,858.67 : x
2. Step 2: Convert to fraction form
   10,574.31/14,592.56 = 5,858.67/x
3. Step 3: Cross multiply
   10,574.31x = 14,592.56 × 5,858.67
4. Step 4: Simplify right side
   10,574.31x = 85,492,964.20
5. Step 5: Solve for x
   x = 85,492,964.20/10,574.31
6. Step 6: Final answer
   x = 8,084.97