Finding the Fourth Proportional to 3,758.83, 5,178.54 and 3,583.87

Step by Step Solution

1. Step 1: Write the proportion equation
   3,758.83 : 5,178.54 = 3,583.87 : x
2. Step 2: Convert to fraction form
   3,758.83/5,178.54 = 3,583.87/x
3. Step 3: Cross multiply
   3,758.83x = 5,178.54 × 3,583.87
4. Step 4: Simplify right side
   3,758.83x = 18,559,214.15
5. Step 5: Solve for x
   x = 18,559,214.15/3,758.83
6. Step 6: Final answer
   x = 4,937.50