Finding the Fourth Proportional to 13,870.69, 19,141.62 and 7,583.06

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870.69 : 19,141.62 = 7,583.06 : x
2. Step 2: Convert to fraction form
   13,870.69/19,141.62 = 7,583.06/x
3. Step 3: Cross multiply
   13,870.69x = 19,141.62 × 7,583.06
4. Step 4: Simplify right side
   13,870.69x = 145,152,072.37
5. Step 5: Solve for x
   x = 145,152,072.37/13,870.69
6. Step 6: Final answer
   x = 10,464.66