Finding the Fourth Proportional to 13,837.82, 19,096.62 and 7,870.35

Step by Step Solution

1. Step 1: Write the proportion equation
   13,837.82 : 19,096.62 = 7,870.35 : x
2. Step 2: Convert to fraction form
   13,837.82/19,096.62 = 7,870.35/x
3. Step 3: Cross multiply
   13,837.82x = 19,096.62 × 7,870.35
4. Step 4: Simplify right side
   13,837.82x = 150,297,053.70
5. Step 5: Solve for x
   x = 150,297,053.70/13,837.82
6. Step 6: Final answer
   x = 10,861.32