Finding the Fourth Proportional to 3,724.86, 5,142.06 and 2,152.65

Step by Step Solution

1. Step 1: Write the proportion equation
   3,724.86 : 5,142.06 = 2,152.65 : x
2. Step 2: Convert to fraction form
   3,724.86/5,142.06 = 2,152.65/x
3. Step 3: Cross multiply
   3,724.86x = 5,142.06 × 2,152.65
4. Step 4: Simplify right side
   3,724.86x = 11,069,055.46
5. Step 5: Solve for x
   x = 11,069,055.46/3,724.86
6. Step 6: Final answer
   x = 2,971.67