Finding the Fourth Proportional to 1,052.90, 1,577.46 and 641.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,052.90 : 1,577.46 = 641.82 : x
2. Step 2: Convert to fraction form
   1,052.90/1,577.46 = 641.82/x
3. Step 3: Cross multiply
   1,052.90x = 1,577.46 × 641.82
4. Step 4: Simplify right side
   1,052.90x = 1,012,445.38
5. Step 5: Solve for x
   x = 1,012,445.38/1,052.90
6. Step 6: Final answer
   x = 961.58