Finding the Fourth Proportional to 1,298.19, 1,946.37 and 648.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.19 : 1,946.37 = 648.47 : x
2. Step 2: Convert to fraction form
   1,298.19/1,946.37 = 648.47/x
3. Step 3: Cross multiply
   1,298.19x = 1,946.37 × 648.47
4. Step 4: Simplify right side
   1,298.19x = 1,262,152.82
5. Step 5: Solve for x
   x = 1,262,152.82/1,298.19
6. Step 6: Final answer
   x = 972.24