Finding the Fourth Proportional to 10,148.39, 14,004.74 and 5,672.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,148.39 : 14,004.74 = 5,672.14 : x
2. Step 2: Convert to fraction form
   10,148.39/14,004.74 = 5,672.14/x
3. Step 3: Cross multiply
   10,148.39x = 14,004.74 × 5,672.14
4. Step 4: Simplify right side
   10,148.39x = 79,436,835.09
5. Step 5: Solve for x
   x = 79,436,835.09/10,148.39
6. Step 6: Final answer
   x = 7,827.53