Finding the Fourth Proportional to 10,582.50, 14,603.95 and 5,866.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.50 : 14,603.95 = 5,866.88 : x
2. Step 2: Convert to fraction form
   10,582.50/14,603.95 = 5,866.88/x
3. Step 3: Cross multiply
   10,582.50x = 14,603.95 × 5,866.88
4. Step 4: Simplify right side
   10,582.50x = 85,679,666.02
5. Step 5: Solve for x
   x = 85,679,666.02/10,582.50
6. Step 6: Final answer
   x = 8,096.35