Finding the Fourth Proportional to 10,377.80, 14,321.53 and 5,662.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.80 : 14,321.53 = 5,662.08 : x
2. Step 2: Convert to fraction form
   10,377.80/14,321.53 = 5,662.08/x
3. Step 3: Cross multiply
   10,377.80x = 14,321.53 × 5,662.08
4. Step 4: Simplify right side
   10,377.80x = 81,089,655.66
5. Step 5: Solve for x
   x = 81,089,655.66/10,377.80
6. Step 6: Final answer
   x = 7,813.76