Finding the Fourth Proportional to 10,780.96, 16,180.10 and 5,588.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780.96 : 16,180.10 = 5,588.32 : x
2. Step 2: Convert to fraction form
   10,780.96/16,180.10 = 5,588.32/x
3. Step 3: Cross multiply
   10,780.96x = 16,180.10 × 5,588.32
4. Step 4: Simplify right side
   10,780.96x = 90,419,576.43
5. Step 5: Solve for x
   x = 90,419,576.43/10,780.96
6. Step 6: Final answer
   x = 8,386.97