Finding the Fourth Proportional to 1,582.84, 2,370.16 and 1,406.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.84 : 2,370.16 = 1,406.51 : x
2. Step 2: Convert to fraction form
   1,582.84/2,370.16 = 1,406.51/x
3. Step 3: Cross multiply
   1,582.84x = 2,370.16 × 1,406.51
4. Step 4: Simplify right side
   1,582.84x = 3,333,665.87
5. Step 5: Solve for x
   x = 3,333,665.87/1,582.84
6. Step 6: Final answer
   x = 2,106.13