Finding the Fourth Proportional to 13,837.78, 19,096.71 and 7,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,837.78 : 19,096.71 = 7,870.50 : x
2. Step 2: Convert to fraction form
   13,837.78/19,096.71 = 7,870.50/x
3. Step 3: Cross multiply
   13,837.78x = 19,096.71 × 7,870.50
4. Step 4: Simplify right side
   13,837.78x = 150,300,656.06
5. Step 5: Solve for x
   x = 150,300,656.06/13,837.78
6. Step 6: Final answer
   x = 10,861.62