Finding the Fourth Proportional to 2,665.71, 3,674.16 and 1,824.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.71 : 3,674.16 = 1,824.93 : x
2. Step 2: Convert to fraction form
   2,665.71/3,674.16 = 1,824.93/x
3. Step 3: Cross multiply
   2,665.71x = 3,674.16 × 1,824.93
4. Step 4: Simplify right side
   2,665.71x = 6,705,084.81
5. Step 5: Solve for x
   x = 6,705,084.81/2,665.71
6. Step 6: Final answer
   x = 2,515.31