Finding the Fourth Proportional to 9,622.56, 14,430.24 and 3,780

Step by Step Solution

1. Step 1: Write the proportion equation
   9,622.56 : 14,430.24 = 3,780 : x
2. Step 2: Convert to fraction form
   9,622.56/14,430.24 = 3,780/x
3. Step 3: Cross multiply
   9,622.56x = 14,430.24 × 3,780
4. Step 4: Simplify right side
   9,622.56x = 54,546,307.20
5. Step 5: Solve for x
   x = 54,546,307.20/9,622.56
6. Step 6: Final answer
   x = 5,668.59