Finding the Fourth Proportional to 10,499.34, 14,489.43 and 5,719.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.34 : 14,489.43 = 5,719.43 : x
2. Step 2: Convert to fraction form
   10,499.34/14,489.43 = 5,719.43/x
3. Step 3: Cross multiply
   10,499.34x = 14,489.43 × 5,719.43
4. Step 4: Simplify right side
   10,499.34x = 82,871,280.62
5. Step 5: Solve for x
   x = 82,871,280.62/10,499.34
6. Step 6: Final answer
   x = 7,893.00