Finding the Fourth Proportional to 11,649, 16,056.88 and 7,870.98

Step by Step Solution

1. Step 1: Write the proportion equation
   11,649 : 16,056.88 = 7,870.98 : x
2. Step 2: Convert to fraction form
   11,649/16,056.88 = 7,870.98/x
3. Step 3: Cross multiply
   11,649x = 16,056.88 × 7,870.98
4. Step 4: Simplify right side
   11,649x = 126,383,381.34
5. Step 5: Solve for x
   x = 126,383,381.34/11,649
6. Step 6: Final answer
   x = 10,849.29