Finding the Fourth Proportional to 10,606.64, 14,636.72 and 5,890.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,606.64 : 14,636.72 = 5,890.64 : x
2. Step 2: Convert to fraction form
   10,606.64/14,636.72 = 5,890.64/x
3. Step 3: Cross multiply
   10,606.64x = 14,636.72 × 5,890.64
4. Step 4: Simplify right side
   10,606.64x = 86,219,648.30
5. Step 5: Solve for x
   x = 86,219,648.30/10,606.64
6. Step 6: Final answer
   x = 8,128.84