Finding the Fourth Proportional to 9,738.56, 14,610.72 and 3,586.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738.56 : 14,610.72 = 3,586.88 : x
2. Step 2: Convert to fraction form
   9,738.56/14,610.72 = 3,586.88/x
3. Step 3: Cross multiply
   9,738.56x = 14,610.72 × 3,586.88
4. Step 4: Simplify right side
   9,738.56x = 52,406,899.35
5. Step 5: Solve for x
   x = 52,406,899.35/9,738.56
6. Step 6: Final answer
   x = 5,381.38