Finding the Fourth Proportional to 6,987.34, 9,642.50 and 3,843.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,987.34 : 9,642.50 = 3,843.50 : x
2. Step 2: Convert to fraction form
   6,987.34/9,642.50 = 3,843.50/x
3. Step 3: Cross multiply
   6,987.34x = 9,642.50 × 3,843.50
4. Step 4: Simplify right side
   6,987.34x = 37,060,948.75
5. Step 5: Solve for x
   x = 37,060,948.75/6,987.34
6. Step 6: Final answer
   x = 5,304.02