Finding the Fourth Proportional to 10,558.23, 14,570.46 and 5,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,558.23 : 14,570.46 = 5,842.50 : x
2. Step 2: Convert to fraction form
   10,558.23/14,570.46 = 5,842.50/x
3. Step 3: Cross multiply
   10,558.23x = 14,570.46 × 5,842.50
4. Step 4: Simplify right side
   10,558.23x = 85,127,912.55
5. Step 5: Solve for x
   x = 85,127,912.55/10,558.23
6. Step 6: Final answer
   x = 8,062.71