Finding the Fourth Proportional to 13,837.52, 19,095 and 7,870.64

Step by Step Solution

1. Step 1: Write the proportion equation
   13,837.52 : 19,095 = 7,870.64 : x
2. Step 2: Convert to fraction form
   13,837.52/19,095 = 7,870.64/x
3. Step 3: Cross multiply
   13,837.52x = 19,095 × 7,870.64
4. Step 4: Simplify right side
   13,837.52x = 150,289,870.80
5. Step 5: Solve for x
   x = 150,289,870.80/13,837.52
6. Step 6: Final answer
   x = 10,861.04