Finding the Fourth Proportional to 10,377.75, 14,321.30 and 5,662.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.75 : 14,321.30 = 5,662.13 : x
2. Step 2: Convert to fraction form
   10,377.75/14,321.30 = 5,662.13/x
3. Step 3: Cross multiply
   10,377.75x = 14,321.30 × 5,662.13
4. Step 4: Simplify right side
   10,377.75x = 81,089,062.37
5. Step 5: Solve for x
   x = 81,089,062.37/10,377.75
6. Step 6: Final answer
   x = 7,813.74