Finding the Fourth Proportional to 1,637.50, 2,259.27 and 974.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,637.50 : 2,259.27 = 974.02 : x
2. Step 2: Convert to fraction form
   1,637.50/2,259.27 = 974.02/x
3. Step 3: Cross multiply
   1,637.50x = 2,259.27 × 974.02
4. Step 4: Simplify right side
   1,637.50x = 2,200,574.17
5. Step 5: Solve for x
   x = 2,200,574.17/1,637.50
6. Step 6: Final answer
   x = 1,343.86