Finding the Fourth Proportional to 10,574.16, 14,592.20 and 5,858.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,574.16 : 14,592.20 = 5,858.42 : x
2. Step 2: Convert to fraction form
   10,574.16/14,592.20 = 5,858.42/x
3. Step 3: Cross multiply
   10,574.16x = 14,592.20 × 5,858.42
4. Step 4: Simplify right side
   10,574.16x = 85,487,236.32
5. Step 5: Solve for x
   x = 85,487,236.32/10,574.16
6. Step 6: Final answer
   x = 8,084.54