Finding the Fourth Proportional to 1,506.48, 2,077.83 and 946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,506.48 : 2,077.83 = 946.50 : x
2. Step 2: Convert to fraction form
   1,506.48/2,077.83 = 946.50/x
3. Step 3: Cross multiply
   1,506.48x = 2,077.83 × 946.50
4. Step 4: Simplify right side
   1,506.48x = 1,966,666.10
5. Step 5: Solve for x
   x = 1,966,666.10/1,506.48
6. Step 6: Final answer
   x = 1,305.47