Finding the Fourth Proportional to 3,784.86, 5,665.68 and 2,319.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.86 : 5,665.68 = 2,319.30 : x
2. Step 2: Convert to fraction form
   3,784.86/5,665.68 = 2,319.30/x
3. Step 3: Cross multiply
   3,784.86x = 5,665.68 × 2,319.30
4. Step 4: Simplify right side
   3,784.86x = 13,140,411.62
5. Step 5: Solve for x
   x = 13,140,411.62/3,784.86
6. Step 6: Final answer
   x = 3,471.84