Finding the Fourth Proportional to 10,377.09, 14,319.89 and 5,661.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.09 : 14,319.89 = 5,661.09 : x
2. Step 2: Convert to fraction form
   10,377.09/14,319.89 = 5,661.09/x
3. Step 3: Cross multiply
   10,377.09x = 14,319.89 × 5,661.09
4. Step 4: Simplify right side
   10,377.09x = 81,066,157.77
5. Step 5: Solve for x
   x = 81,066,157.77/10,377.09
6. Step 6: Final answer
   x = 7,812.03