Finding the Fourth Proportional to 1,980.02, 2,969.42 and 825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,980.02 : 2,969.42 = 825.50 : x
2. Step 2: Convert to fraction form
   1,980.02/2,969.42 = 825.50/x
3. Step 3: Cross multiply
   1,980.02x = 2,969.42 × 825.50
4. Step 4: Simplify right side
   1,980.02x = 2,451,256.21
5. Step 5: Solve for x
   x = 2,451,256.21/1,980.02
6. Step 6: Final answer
   x = 1,238.00