Finding the Fourth Proportional to 9,757.50, 14,638.10 and 3,914.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,757.50 : 14,638.10 = 3,914.57 : x
2. Step 2: Convert to fraction form
   9,757.50/14,638.10 = 3,914.57/x
3. Step 3: Cross multiply
   9,757.50x = 14,638.10 × 3,914.57
4. Step 4: Simplify right side
   9,757.50x = 57,301,774.35
5. Step 5: Solve for x
   x = 57,301,774.35/9,757.50
6. Step 6: Final answer
   x = 5,872.59