Finding the Fourth Proportional to 10,146.63, 14,002.98 and 5,670.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146.63 : 14,002.98 = 5,670.74 : x
2. Step 2: Convert to fraction form
   10,146.63/14,002.98 = 5,670.74/x
3. Step 3: Cross multiply
   10,146.63x = 14,002.98 × 5,670.74
4. Step 4: Simplify right side
   10,146.63x = 79,407,272.55
5. Step 5: Solve for x
   x = 79,407,272.55/10,146.63
6. Step 6: Final answer
   x = 7,825.97