Finding the Fourth Proportional to 10,465.94, 15,774.17 and 9,022.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465.94 : 15,774.17 = 9,022.52 : x
2. Step 2: Convert to fraction form
   10,465.94/15,774.17 = 9,022.52/x
3. Step 3: Cross multiply
   10,465.94x = 15,774.17 × 9,022.52
4. Step 4: Simplify right side
   10,465.94x = 142,322,764.31
5. Step 5: Solve for x
   x = 142,322,764.31/10,465.94
6. Step 6: Final answer
   x = 13,598.66