Finding the Fourth Proportional to 11,759.86, 17,633.58 and 5,182.93

Step by Step Solution

1. Step 1: Write the proportion equation
   11,759.86 : 17,633.58 = 5,182.93 : x
2. Step 2: Convert to fraction form
   11,759.86/17,633.58 = 5,182.93/x
3. Step 3: Cross multiply
   11,759.86x = 17,633.58 × 5,182.93
4. Step 4: Simplify right side
   11,759.86x = 91,393,610.79
5. Step 5: Solve for x
   x = 91,393,610.79/11,759.86
6. Step 6: Final answer
   x = 7,771.66