Finding the Fourth Proportional to 11,854.58, 17,776.16 and 5,609.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,854.58 : 17,776.16 = 5,609.42 : x
2. Step 2: Convert to fraction form
   11,854.58/17,776.16 = 5,609.42/x
3. Step 3: Cross multiply
   11,854.58x = 17,776.16 × 5,609.42
4. Step 4: Simplify right side
   11,854.58x = 99,713,947.43
5. Step 5: Solve for x
   x = 99,713,947.43/11,854.58
6. Step 6: Final answer
   x = 8,411.43