Finding the Fourth Proportional to 10,586.64, 14,609.34 and 5,870.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,586.64 : 14,609.34 = 5,870.82 : x
2. Step 2: Convert to fraction form
   10,586.64/14,609.34 = 5,870.82/x
3. Step 3: Cross multiply
   10,586.64x = 14,609.34 × 5,870.82
4. Step 4: Simplify right side
   10,586.64x = 85,768,805.46
5. Step 5: Solve for x
   x = 85,768,805.46/10,586.64
6. Step 6: Final answer
   x = 8,101.61