Finding the Fourth Proportional to 13,824.64, 19,077.98 and 7,856.30

Step by Step Solution

1. Step 1: Write the proportion equation
   13,824.64 : 19,077.98 = 7,856.30 : x
2. Step 2: Convert to fraction form
   13,824.64/19,077.98 = 7,856.30/x
3. Step 3: Cross multiply
   13,824.64x = 19,077.98 × 7,856.30
4. Step 4: Simplify right side
   13,824.64x = 149,882,334.27
5. Step 5: Solve for x
   x = 149,882,334.27/13,824.64
6. Step 6: Final answer
   x = 10,841.68