Finding the Fourth Proportional to 13,870.71, 19,141.53 and 7,583.09

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870.71 : 19,141.53 = 7,583.09 : x
2. Step 2: Convert to fraction form
   13,870.71/19,141.53 = 7,583.09/x
3. Step 3: Cross multiply
   13,870.71x = 19,141.53 × 7,583.09
4. Step 4: Simplify right side
   13,870.71x = 145,151,944.73
5. Step 5: Solve for x
   x = 145,151,944.73/13,870.71
6. Step 6: Final answer
   x = 10,464.64