Finding the Fourth Proportional to 10,146.71, 14,002.19 and 5,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146.71 : 14,002.19 = 5,670.50 : x
2. Step 2: Convert to fraction form
   10,146.71/14,002.19 = 5,670.50/x
3. Step 3: Cross multiply
   10,146.71x = 14,002.19 × 5,670.50
4. Step 4: Simplify right side
   10,146.71x = 79,399,415.07
5. Step 5: Solve for x
   x = 79,399,415.07/10,146.71
6. Step 6: Final answer
   x = 7,825.14