Finding the Fourth Proportional to 9,982.10, 13,776.56 and 5,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.10 : 13,776.56 = 5,734.50 : x
2. Step 2: Convert to fraction form
   9,982.10/13,776.56 = 5,734.50/x
3. Step 3: Cross multiply
   9,982.10x = 13,776.56 × 5,734.50
4. Step 4: Simplify right side
   9,982.10x = 79,001,683.32
5. Step 5: Solve for x
   x = 79,001,683.32/9,982.10
6. Step 6: Final answer
   x = 7,914.33