Finding the Fourth Proportional to 10,570.42, 14,587.14 and 5,854.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,570.42 : 14,587.14 = 5,854.60 : x
2. Step 2: Convert to fraction form
   10,570.42/14,587.14 = 5,854.60/x
3. Step 3: Cross multiply
   10,570.42x = 14,587.14 × 5,854.60
4. Step 4: Simplify right side
   10,570.42x = 85,401,869.84
5. Step 5: Solve for x
   x = 85,401,869.84/10,570.42
6. Step 6: Final answer
   x = 8,079.33