Finding the Fourth Proportional to 13,870.98, 19,142.03 and 7,583.36

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870.98 : 19,142.03 = 7,583.36 : x
2. Step 2: Convert to fraction form
   13,870.98/19,142.03 = 7,583.36/x
3. Step 3: Cross multiply
   13,870.98x = 19,142.03 × 7,583.36
4. Step 4: Simplify right side
   13,870.98x = 145,160,904.62
5. Step 5: Solve for x
   x = 145,160,904.62/13,870.98
6. Step 6: Final answer
   x = 10,465.08