Finding the Fourth Proportional to 10,146.40, 14,002.33 and 5,670.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146.40 : 14,002.33 = 5,670.16 : x
2. Step 2: Convert to fraction form
   10,146.40/14,002.33 = 5,670.16/x
3. Step 3: Cross multiply
   10,146.40x = 14,002.33 × 5,670.16
4. Step 4: Simplify right side
   10,146.40x = 79,395,406.82
5. Step 5: Solve for x
   x = 79,395,406.82/10,146.40
6. Step 6: Final answer
   x = 7,824.98