Finding the Fourth Proportional to 11,653.50, 17,471.61 and 7,498.14

Step by Step Solution

1. Step 1: Write the proportion equation
   11,653.50 : 17,471.61 = 7,498.14 : x
2. Step 2: Convert to fraction form
   11,653.50/17,471.61 = 7,498.14/x
3. Step 3: Cross multiply
   11,653.50x = 17,471.61 × 7,498.14
4. Step 4: Simplify right side
   11,653.50x = 131,004,577.81
5. Step 5: Solve for x
   x = 131,004,577.81/11,653.50
6. Step 6: Final answer
   x = 11,241.65