Finding the Fourth Proportional to 10,199.32, 14,075.78 and 5,662.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,199.32 : 14,075.78 = 5,662.24 : x
2. Step 2: Convert to fraction form
   10,199.32/14,075.78 = 5,662.24/x
3. Step 3: Cross multiply
   10,199.32x = 14,075.78 × 5,662.24
4. Step 4: Simplify right side
   10,199.32x = 79,700,381.05
5. Step 5: Solve for x
   x = 79,700,381.05/10,199.32
6. Step 6: Final answer
   x = 7,814.29