Finding the Fourth Proportional to 6,983.09, 9,638.71 and 4,152.46

Step by Step Solution

1. Step 1: Write the proportion equation
   6,983.09 : 9,638.71 = 4,152.46 : x
2. Step 2: Convert to fraction form
   6,983.09/9,638.71 = 4,152.46/x
3. Step 3: Cross multiply
   6,983.09x = 9,638.71 × 4,152.46
4. Step 4: Simplify right side
   6,983.09x = 40,024,357.86
5. Step 5: Solve for x
   x = 40,024,357.86/6,983.09
6. Step 6: Final answer
   x = 5,731.61