Finding the Fourth Proportional to 10,570.23, 14,586.93 and 5,854.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,570.23 : 14,586.93 = 5,854.50 : x
2. Step 2: Convert to fraction form
   10,570.23/14,586.93 = 5,854.50/x
3. Step 3: Cross multiply
   10,570.23x = 14,586.93 × 5,854.50
4. Step 4: Simplify right side
   10,570.23x = 85,399,181.69
5. Step 5: Solve for x
   x = 85,399,181.69/10,570.23
6. Step 6: Final answer
   x = 8,079.22