Finding the Fourth Proportional to 10,561.77, 14,580.95 and 8,462.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,561.77 : 14,580.95 = 8,462.25 : x
2. Step 2: Convert to fraction form
   10,561.77/14,580.95 = 8,462.25/x
3. Step 3: Cross multiply
   10,561.77x = 14,580.95 × 8,462.25
4. Step 4: Simplify right side
   10,561.77x = 123,387,601.83
5. Step 5: Solve for x
   x = 123,387,601.83/10,561.77
6. Step 6: Final answer
   x = 11,682.47