Finding the Fourth Proportional to 2,972.06, 4,456.56 and 1,585.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,972.06 : 4,456.56 = 1,585.02 : x
2. Step 2: Convert to fraction form
   2,972.06/4,456.56 = 1,585.02/x
3. Step 3: Cross multiply
   2,972.06x = 4,456.56 × 1,585.02
4. Step 4: Simplify right side
   2,972.06x = 7,063,736.73
5. Step 5: Solve for x
   x = 7,063,736.73/2,972.06
6. Step 6: Final answer
   x = 2,376.72