Finding the Fourth Proportional to 10,377.64, 14,321.10 and 5,661.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.64 : 14,321.10 = 5,661.91 : x
2. Step 2: Convert to fraction form
   10,377.64/14,321.10 = 5,661.91/x
3. Step 3: Cross multiply
   10,377.64x = 14,321.10 × 5,661.91
4. Step 4: Simplify right side
   10,377.64x = 81,084,779.30
5. Step 5: Solve for x
   x = 81,084,779.30/10,377.64
6. Step 6: Final answer
   x = 7,813.41