Finding the Fourth Proportional to 13,978.65, 19,290.38 and 10,409.58

Step by Step Solution

1. Step 1: Write the proportion equation
   13,978.65 : 19,290.38 = 10,409.58 : x
2. Step 2: Convert to fraction form
   13,978.65/19,290.38 = 10,409.58/x
3. Step 3: Cross multiply
   13,978.65x = 19,290.38 × 10,409.58
4. Step 4: Simplify right side
   13,978.65x = 200,804,701.79
5. Step 5: Solve for x
   x = 200,804,701.79/13,978.65
6. Step 6: Final answer
   x = 14,365.10