Finding the Fourth Proportional to 10,189.44, 14,061.74 and 5,713.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,189.44 : 14,061.74 = 5,713.61 : x
2. Step 2: Convert to fraction form
   10,189.44/14,061.74 = 5,713.61/x
3. Step 3: Cross multiply
   10,189.44x = 14,061.74 × 5,713.61
4. Step 4: Simplify right side
   10,189.44x = 80,343,199.40
5. Step 5: Solve for x
   x = 80,343,199.40/10,189.44
6. Step 6: Final answer
   x = 7,884.95