Finding the Fourth Proportional to 10,376.82, 14,319.90 and 5,661

Step by Step Solution

1. Step 1: Write the proportion equation
   10,376.82 : 14,319.90 = 5,661 : x
2. Step 2: Convert to fraction form
   10,376.82/14,319.90 = 5,661/x
3. Step 3: Cross multiply
   10,376.82x = 14,319.90 × 5,661
4. Step 4: Simplify right side
   10,376.82x = 81,064,953.90
5. Step 5: Solve for x
   x = 81,064,953.90/10,376.82
6. Step 6: Final answer
   x = 7,812.12