Finding the Fourth Proportional to 2,582.42, 3,875.00 and 1,970.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.42 : 3,875.00 = 1,970.06 : x
2. Step 2: Convert to fraction form
   2,582.42/3,875.00 = 1,970.06/x
3. Step 3: Cross multiply
   2,582.42x = 3,875.00 × 1,970.06
4. Step 4: Simplify right side
   2,582.42x = 7,633,953.27
5. Step 5: Solve for x
   x = 7,633,953.27/2,582.42
6. Step 6: Final answer
   x = 2,956.13