Finding the Fourth Proportional to 10,589.77, 14,629.10 and 8,462.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,589.77 : 14,629.10 = 8,462.52 : x
2. Step 2: Convert to fraction form
   10,589.77/14,629.10 = 8,462.52/x
3. Step 3: Cross multiply
   10,589.77x = 14,629.10 × 8,462.52
4. Step 4: Simplify right side
   10,589.77x = 123,799,032.82
5. Step 5: Solve for x
   x = 123,799,032.82/10,589.77
6. Step 6: Final answer
   x = 11,690.43