Finding the Fourth Proportional to 7,106.64, 10,665.72 and 3,644.88

Step by Step Solution

1. Step 1: Write the proportion equation
   7,106.64 : 10,665.72 = 3,644.88 : x
2. Step 2: Convert to fraction form
   7,106.64/10,665.72 = 3,644.88/x
3. Step 3: Cross multiply
   7,106.64x = 10,665.72 × 3,644.88
4. Step 4: Simplify right side
   7,106.64x = 38,875,269.51
5. Step 5: Solve for x
   x = 38,875,269.51/7,106.64
6. Step 6: Final answer
   x = 5,470.27