Finding the Fourth Proportional to 9,987.34, 13,782 and 5,735.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,987.34 : 13,782 = 5,735.46 : x
2. Step 2: Convert to fraction form
   9,987.34/13,782 = 5,735.46/x
3. Step 3: Cross multiply
   9,987.34x = 13,782 × 5,735.46
4. Step 4: Simplify right side
   9,987.34x = 79,046,109.72
5. Step 5: Solve for x
   x = 79,046,109.72/9,987.34
6. Step 6: Final answer
   x = 7,914.63