Finding the Fourth Proportional to 13,870.92, 19,141.95 and 7,583.30

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870.92 : 19,141.95 = 7,583.30 : x
2. Step 2: Convert to fraction form
   13,870.92/19,141.95 = 7,583.30/x
3. Step 3: Cross multiply
   13,870.92x = 19,141.95 × 7,583.30
4. Step 4: Simplify right side
   13,870.92x = 145,159,053.73
5. Step 5: Solve for x
   x = 145,159,053.73/13,870.92
6. Step 6: Final answer
   x = 10,464.99