Finding the Fourth Proportional to 5,164.86, 7,736.24 and 3,499.94

Step by Step Solution

1. Step 1: Write the proportion equation
   5,164.86 : 7,736.24 = 3,499.94 : x
2. Step 2: Convert to fraction form
   5,164.86/7,736.24 = 3,499.94/x
3. Step 3: Cross multiply
   5,164.86x = 7,736.24 × 3,499.94
4. Step 4: Simplify right side
   5,164.86x = 27,076,375.83
5. Step 5: Solve for x
   x = 27,076,375.83/5,164.86
6. Step 6: Final answer
   x = 5,242.42