Finding the Fourth Proportional to 9,986.67, 14,980.77 and 5,827.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,986.67 : 14,980.77 = 5,827.10 : x
2. Step 2: Convert to fraction form
   9,986.67/14,980.77 = 5,827.10/x
3. Step 3: Cross multiply
   9,986.67x = 14,980.77 × 5,827.10
4. Step 4: Simplify right side
   9,986.67x = 87,294,369.96
5. Step 5: Solve for x
   x = 87,294,369.96/9,986.67
6. Step 6: Final answer
   x = 8,741.09