Finding the Fourth Proportional to 4,566.84, 6,296.50 and 3,726.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,566.84 : 6,296.50 = 3,726.69 : x
2. Step 2: Convert to fraction form
   4,566.84/6,296.50 = 3,726.69/x
3. Step 3: Cross multiply
   4,566.84x = 6,296.50 × 3,726.69
4. Step 4: Simplify right side
   4,566.84x = 23,465,103.59
5. Step 5: Solve for x
   x = 23,465,103.59/4,566.84
6. Step 6: Final answer
   x = 5,138.15