Finding the Fourth Proportional to 10,146.84, 14,002.56 and 5,670.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146.84 : 14,002.56 = 5,670.60 : x
2. Step 2: Convert to fraction form
   10,146.84/14,002.56 = 5,670.60/x
3. Step 3: Cross multiply
   10,146.84x = 14,002.56 × 5,670.60
4. Step 4: Simplify right side
   10,146.84x = 79,402,916.74
5. Step 5: Solve for x
   x = 79,402,916.74/10,146.84
6. Step 6: Final answer
   x = 7,825.38