Finding the Fourth Proportional to 10,146.56, 14,000.96 and 5,670.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146.56 : 14,000.96 = 5,670.14 : x
2. Step 2: Convert to fraction form
   10,146.56/14,000.96 = 5,670.14/x
3. Step 3: Cross multiply
   10,146.56x = 14,000.96 × 5,670.14
4. Step 4: Simplify right side
   10,146.56x = 79,387,403.33
5. Step 5: Solve for x
   x = 79,387,403.33/10,146.56
6. Step 6: Final answer
   x = 7,824.07