Finding the Fourth Proportional to 13,870.49, 19,141.45 and 7,582.87

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870.49 : 19,141.45 = 7,582.87 : x
2. Step 2: Convert to fraction form
   13,870.49/19,141.45 = 7,582.87/x
3. Step 3: Cross multiply
   13,870.49x = 19,141.45 × 7,582.87
4. Step 4: Simplify right side
   13,870.49x = 145,147,126.96
5. Step 5: Solve for x
   x = 145,147,126.96/13,870.49
6. Step 6: Final answer
   x = 10,464.46