Finding the Fourth Proportional to 10,586.40, 14,608.20 and 5,870.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,586.40 : 14,608.20 = 5,870.58 : x
2. Step 2: Convert to fraction form
   10,586.40/14,608.20 = 5,870.58/x
3. Step 3: Cross multiply
   10,586.40x = 14,608.20 × 5,870.58
4. Step 4: Simplify right side
   10,586.40x = 85,758,606.76
5. Step 5: Solve for x
   x = 85,758,606.76/10,586.40
6. Step 6: Final answer
   x = 8,100.83