Finding the Fourth Proportional to 2,970.82, 4,456.64 and 1,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,970.82 : 4,456.64 = 1,022.50 : x
2. Step 2: Convert to fraction form
   2,970.82/4,456.64 = 1,022.50/x
3. Step 3: Cross multiply
   2,970.82x = 4,456.64 × 1,022.50
4. Step 4: Simplify right side
   2,970.82x = 4,556,914.40
5. Step 5: Solve for x
   x = 4,556,914.40/2,970.82
6. Step 6: Final answer
   x = 1,533.89