Finding the Fourth Proportional to 10,619.94, 15,914.82 and 7,824.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,619.94 : 15,914.82 = 7,824.60 : x
2. Step 2: Convert to fraction form
   10,619.94/15,914.82 = 7,824.60/x
3. Step 3: Cross multiply
   10,619.94x = 15,914.82 × 7,824.60
4. Step 4: Simplify right side
   10,619.94x = 124,527,100.57
5. Step 5: Solve for x
   x = 124,527,100.57/10,619.94
6. Step 6: Final answer
   x = 11,725.78