Finding the Fourth Proportional to 10,406.76, 14,361.32 and 5,691.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406.76 : 14,361.32 = 5,691.08 : x
2. Step 2: Convert to fraction form
   10,406.76/14,361.32 = 5,691.08/x
3. Step 3: Cross multiply
   10,406.76x = 14,361.32 × 5,691.08
4. Step 4: Simplify right side
   10,406.76x = 81,731,421.03
5. Step 5: Solve for x
   x = 81,731,421.03/10,406.76
6. Step 6: Final answer
   x = 7,853.69