Finding the Fourth Proportional to 1,005.42, 1,387.32 and 563.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.42 : 1,387.32 = 563.34 : x
2. Step 2: Convert to fraction form
   1,005.42/1,387.32 = 563.34/x
3. Step 3: Cross multiply
   1,005.42x = 1,387.32 × 563.34
4. Step 4: Simplify right side
   1,005.42x = 781,532.85
5. Step 5: Solve for x
   x = 781,532.85/1,005.42
6. Step 6: Final answer
   x = 777.32