Finding the Fourth Proportional to 10,616.77, 14,652.78 and 7,642.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,616.77 : 14,652.78 = 7,642.45 : x
2. Step 2: Convert to fraction form
   10,616.77/14,652.78 = 7,642.45/x
3. Step 3: Cross multiply
   10,616.77x = 14,652.78 × 7,642.45
4. Step 4: Simplify right side
   10,616.77x = 111,983,138.51
5. Step 5: Solve for x
   x = 111,983,138.51/10,616.77
6. Step 6: Final answer
   x = 10,547.76