Finding the Fourth Proportional to 9,746.56, 14,624.72 and 4,556.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,746.56 : 14,624.72 = 4,556.16 : x
2. Step 2: Convert to fraction form
   9,746.56/14,624.72 = 4,556.16/x
3. Step 3: Cross multiply
   9,746.56x = 14,624.72 × 4,556.16
4. Step 4: Simplify right side
   9,746.56x = 66,632,564.28
5. Step 5: Solve for x
   x = 66,632,564.28/9,746.56
6. Step 6: Final answer
   x = 6,836.52