Finding the Fourth Proportional to 10,199.82, 14,075.10 and 5,723.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,199.82 : 14,075.10 = 5,723.58 : x
2. Step 2: Convert to fraction form
   10,199.82/14,075.10 = 5,723.58/x
3. Step 3: Cross multiply
   10,199.82x = 14,075.10 × 5,723.58
4. Step 4: Simplify right side
   10,199.82x = 80,559,960.86
5. Step 5: Solve for x
   x = 80,559,960.86/10,199.82
6. Step 6: Final answer
   x = 7,898.17