Finding the Fourth Proportional to 10,146.47, 14,002.20 and 5,670.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146.47 : 14,002.20 = 5,670.27 : x
2. Step 2: Convert to fraction form
   10,146.47/14,002.20 = 5,670.27/x
3. Step 3: Cross multiply
   10,146.47x = 14,002.20 × 5,670.27
4. Step 4: Simplify right side
   10,146.47x = 79,396,254.59
5. Step 5: Solve for x
   x = 79,396,254.59/10,146.47
6. Step 6: Final answer
   x = 7,825.02