Finding the Fourth Proportional to 11,774.86, 17,660.77 and 5,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,774.86 : 17,660.77 = 5,199.50 : x
2. Step 2: Convert to fraction form
   11,774.86/17,660.77 = 5,199.50/x
3. Step 3: Cross multiply
   11,774.86x = 17,660.77 × 5,199.50
4. Step 4: Simplify right side
   11,774.86x = 91,827,173.62
5. Step 5: Solve for x
   x = 91,827,173.62/11,774.86
6. Step 6: Final answer
   x = 7,798.58