Finding the Fourth Proportional to 10,606.10, 14,829.10 and 10,606.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,606.10 : 14,829.10 = 10,606.10 : x
2. Step 2: Convert to fraction form
   10,606.10/14,829.10 = 10,606.10/x
3. Step 3: Cross multiply
   10,606.10x = 14,829.10 × 10,606.10
4. Step 4: Simplify right side
   10,606.10x = 157,278,917.51
5. Step 5: Solve for x
   x = 157,278,917.51/10,606.10
6. Step 6: Final answer
   x = 14,829.10