Finding the Fourth Proportional to 1,298.10, 1,945.62 and 647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.10 : 1,945.62 = 647.50 : x
2. Step 2: Convert to fraction form
   1,298.10/1,945.62 = 647.50/x
3. Step 3: Cross multiply
   1,298.10x = 1,945.62 × 647.50
4. Step 4: Simplify right side
   1,298.10x = 1,259,788.95
5. Step 5: Solve for x
   x = 1,259,788.95/1,298.10
6. Step 6: Final answer
   x = 970.49