Finding the Fourth Proportional to 1,042.47, 1,565.33 and 946.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.47 : 1,565.33 = 946.89 : x
2. Step 2: Convert to fraction form
   1,042.47/1,565.33 = 946.89/x
3. Step 3: Cross multiply
   1,042.47x = 1,565.33 × 946.89
4. Step 4: Simplify right side
   1,042.47x = 1,482,190.59
5. Step 5: Solve for x
   x = 1,482,190.59/1,042.47
6. Step 6: Final answer
   x = 1,421.81