Finding the Fourth Proportional to 5,182.21, 7,735.71 and 4,796.74

Step by Step Solution

1. Step 1: Write the proportion equation
   5,182.21 : 7,735.71 = 4,796.74 : x
2. Step 2: Convert to fraction form
   5,182.21/7,735.71 = 4,796.74/x
3. Step 3: Cross multiply
   5,182.21x = 7,735.71 × 4,796.74
4. Step 4: Simplify right side
   5,182.21x = 37,106,189.59
5. Step 5: Solve for x
   x = 37,106,189.59/5,182.21
6. Step 6: Final answer
   x = 7,160.30