Finding the Fourth Proportional to 1,300.14, 1,948.32 and 649.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.14 : 1,948.32 = 649.98 : x
2. Step 2: Convert to fraction form
   1,300.14/1,948.32 = 649.98/x
3. Step 3: Cross multiply
   1,300.14x = 1,948.32 × 649.98
4. Step 4: Simplify right side
   1,300.14x = 1,266,369.03
5. Step 5: Solve for x
   x = 1,266,369.03/1,300.14
6. Step 6: Final answer
   x = 974.03