Finding the Fourth Proportional to 10,563.23, 14,559.86 and 7,498.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,563.23 : 14,559.86 = 7,498.14 : x
2. Step 2: Convert to fraction form
   10,563.23/14,559.86 = 7,498.14/x
3. Step 3: Cross multiply
   10,563.23x = 14,559.86 × 7,498.14
4. Step 4: Simplify right side
   10,563.23x = 109,171,831.17
5. Step 5: Solve for x
   x = 109,171,831.17/10,563.23
6. Step 6: Final answer
   x = 10,335.08