Finding the Fourth Proportional to 9,538.56, 14,307.72 and 2,613

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.56 : 14,307.72 = 2,613 : x
2. Step 2: Convert to fraction form
   9,538.56/14,307.72 = 2,613/x
3. Step 3: Cross multiply
   9,538.56x = 14,307.72 × 2,613
4. Step 4: Simplify right side
   9,538.56x = 37,386,072.36
5. Step 5: Solve for x
   x = 37,386,072.36/9,538.56
6. Step 6: Final answer
   x = 3,919.47