Finding the Fourth Proportional to 1,001.42, 1,381.98 and 559.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,001.42 : 1,381.98 = 559.40 : x
2. Step 2: Convert to fraction form
   1,001.42/1,381.98 = 559.40/x
3. Step 3: Cross multiply
   1,001.42x = 1,381.98 × 559.40
4. Step 4: Simplify right side
   1,001.42x = 773,079.61
5. Step 5: Solve for x
   x = 773,079.61/1,001.42
6. Step 6: Final answer
   x = 771.98