Finding the Fourth Proportional to 10,148.07, 14,004.25 and 5,671.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,148.07 : 14,004.25 = 5,671.77 : x
2. Step 2: Convert to fraction form
   10,148.07/14,004.25 = 5,671.77/x
3. Step 3: Cross multiply
   10,148.07x = 14,004.25 × 5,671.77
4. Step 4: Simplify right side
   10,148.07x = 79,428,885.02
5. Step 5: Solve for x
   x = 79,428,885.02/10,148.07
6. Step 6: Final answer
   x = 7,826.99