Finding the Fourth Proportional to 10,147.89, 14,001.30 and 5,671.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,147.89 : 14,001.30 = 5,671.14 : x
2. Step 2: Convert to fraction form
   10,147.89/14,001.30 = 5,671.14/x
3. Step 3: Cross multiply
   10,147.89x = 14,001.30 × 5,671.14
4. Step 4: Simplify right side
   10,147.89x = 79,403,332.48
5. Step 5: Solve for x
   x = 79,403,332.48/10,147.89
6. Step 6: Final answer
   x = 7,824.62