Finding the Fourth Proportional to 10,146.74, 14,003.05 and 5,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146.74 : 14,003.05 = 5,670.50 : x
2. Step 2: Convert to fraction form
   10,146.74/14,003.05 = 5,670.50/x
3. Step 3: Cross multiply
   10,146.74x = 14,003.05 × 5,670.50
4. Step 4: Simplify right side
   10,146.74x = 79,404,210.83
5. Step 5: Solve for x
   x = 79,404,210.83/10,146.74
6. Step 6: Final answer
   x = 7,825.59