Finding the Fourth Proportional to 6,581.61, 9,870.86 and 2,419.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,581.61 : 9,870.86 = 2,419.38 : x
2. Step 2: Convert to fraction form
   6,581.61/9,870.86 = 2,419.38/x
3. Step 3: Cross multiply
   6,581.61x = 9,870.86 × 2,419.38
4. Step 4: Simplify right side
   6,581.61x = 23,881,367.32
5. Step 5: Solve for x
   x = 23,881,367.32/6,581.61
6. Step 6: Final answer
   x = 3,628.50