Finding the Fourth Proportional to 10,199.71, 14,075.61 and 5,723.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,199.71 : 14,075.61 = 5,723.47 : x
2. Step 2: Convert to fraction form
   10,199.71/14,075.61 = 5,723.47/x
3. Step 3: Cross multiply
   10,199.71x = 14,075.61 × 5,723.47
4. Step 4: Simplify right side
   10,199.71x = 80,561,331.57
5. Step 5: Solve for x
   x = 80,561,331.57/10,199.71
6. Step 6: Final answer
   x = 7,898.39