Finding the Fourth Proportional to 3,784.56, 5,221.17 and 2,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.56 : 5,221.17 = 2,386.50 : x
2. Step 2: Convert to fraction form
   3,784.56/5,221.17 = 2,386.50/x
3. Step 3: Cross multiply
   3,784.56x = 5,221.17 × 2,386.50
4. Step 4: Simplify right side
   3,784.56x = 12,460,322.21
5. Step 5: Solve for x
   x = 12,460,322.21/3,784.56
6. Step 6: Final answer
   x = 3,292.41