Finding the Fourth Proportional to 3,784.80, 5,678.15 and 3,722.02

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.80 : 5,678.15 = 3,722.02 : x
2. Step 2: Convert to fraction form
   3,784.80/5,678.15 = 3,722.02/x
3. Step 3: Cross multiply
   3,784.80x = 5,678.15 × 3,722.02
4. Step 4: Simplify right side
   3,784.80x = 21,134,155.06
5. Step 5: Solve for x
   x = 21,134,155.06/3,784.80
6. Step 6: Final answer
   x = 5,583.96