Finding the Fourth Proportional to 13,870.50, 19,141.41 and 7,582.88

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870.50 : 19,141.41 = 7,582.88 : x
2. Step 2: Convert to fraction form
   13,870.50/19,141.41 = 7,582.88/x
3. Step 3: Cross multiply
   13,870.50x = 19,141.41 × 7,582.88
4. Step 4: Simplify right side
   13,870.50x = 145,147,015.06
5. Step 5: Solve for x
   x = 145,147,015.06/13,870.50
6. Step 6: Final answer
   x = 10,464.44