Finding the Fourth Proportional to 3,858.08, 5,780.72 and 3,470.24

Step by Step Solution

1. Step 1: Write the proportion equation
   3,858.08 : 5,780.72 = 3,470.24 : x
2. Step 2: Convert to fraction form
   3,858.08/5,780.72 = 3,470.24/x
3. Step 3: Cross multiply
   3,858.08x = 5,780.72 × 3,470.24
4. Step 4: Simplify right side
   3,858.08x = 20,060,485.77
5. Step 5: Solve for x
   x = 20,060,485.77/3,858.08
6. Step 6: Final answer
   x = 5,199.60