Finding the Fourth Proportional to 10,606.86, 14,642.94 and 7,477.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,606.86 : 14,642.94 = 7,477.02 : x
2. Step 2: Convert to fraction form
   10,606.86/14,642.94 = 7,477.02/x
3. Step 3: Cross multiply
   10,606.86x = 14,642.94 × 7,477.02
4. Step 4: Simplify right side
   10,606.86x = 109,485,555.24
5. Step 5: Solve for x
   x = 109,485,555.24/10,606.86
6. Step 6: Final answer
   x = 10,322.15