Finding the Fourth Proportional to 10,005, 13,807.98 and 7,482.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005 : 13,807.98 = 7,482.78 : x
2. Step 2: Convert to fraction form
   10,005/13,807.98 = 7,482.78/x
3. Step 3: Cross multiply
   10,005x = 13,807.98 × 7,482.78
4. Step 4: Simplify right side
   10,005x = 103,322,076.58
5. Step 5: Solve for x
   x = 103,322,076.58/10,005
6. Step 6: Final answer
   x = 10,327.04