Finding the Fourth Proportional to 9,938.56, 14,914.32 and 3,782.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,938.56 : 14,914.32 = 3,782.56 : x
2. Step 2: Convert to fraction form
   9,938.56/14,914.32 = 3,782.56/x
3. Step 3: Cross multiply
   9,938.56x = 14,914.32 × 3,782.56
4. Step 4: Simplify right side
   9,938.56x = 56,414,310.26
5. Step 5: Solve for x
   x = 56,414,310.26/9,938.56
6. Step 6: Final answer
   x = 5,676.31