Finding the Fourth Proportional to 11,653.98, 16,077.00 and 7,878.47

Step by Step Solution

1. Step 1: Write the proportion equation
   11,653.98 : 16,077.00 = 7,878.47 : x
2. Step 2: Convert to fraction form
   11,653.98/16,077.00 = 7,878.47/x
3. Step 3: Cross multiply
   11,653.98x = 16,077.00 × 7,878.47
4. Step 4: Simplify right side
   11,653.98x = 126,662,157.47
5. Step 5: Solve for x
   x = 126,662,157.47/11,653.98
6. Step 6: Final answer
   x = 10,868.57