Finding the Fourth Proportional to 10,377.63, 14,321.25 and 5,661.99

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.63 : 14,321.25 = 5,661.99 : x
2. Step 2: Convert to fraction form
   10,377.63/14,321.25 = 5,661.99/x
3. Step 3: Cross multiply
   10,377.63x = 14,321.25 × 5,661.99
4. Step 4: Simplify right side
   10,377.63x = 81,086,774.29
5. Step 5: Solve for x
   x = 81,086,774.29/10,377.63
6. Step 6: Final answer
   x = 7,813.61