Finding the Fourth Proportional to 10,584.70, 14,607.76 and 5,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584.70 : 14,607.76 = 5,870.50 : x
2. Step 2: Convert to fraction form
   10,584.70/14,607.76 = 5,870.50/x
3. Step 3: Cross multiply
   10,584.70x = 14,607.76 × 5,870.50
4. Step 4: Simplify right side
   10,584.70x = 85,754,855.08
5. Step 5: Solve for x
   x = 85,754,855.08/10,584.70
6. Step 6: Final answer
   x = 8,101.77