Finding the Fourth Proportional to 10,586.58, 14,608.98 and 5,870.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,586.58 : 14,608.98 = 5,870.76 : x
2. Step 2: Convert to fraction form
   10,586.58/14,608.98 = 5,870.76/x
3. Step 3: Cross multiply
   10,586.58x = 14,608.98 × 5,870.76
4. Step 4: Simplify right side
   10,586.58x = 85,765,815.42
5. Step 5: Solve for x
   x = 85,765,815.42/10,586.58
6. Step 6: Final answer
   x = 8,101.37