Finding the Fourth Proportional to 1,005.55, 1,387.59 and 563.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.55 : 1,387.59 = 563.47 : x
2. Step 2: Convert to fraction form
   1,005.55/1,387.59 = 563.47/x
3. Step 3: Cross multiply
   1,005.55x = 1,387.59 × 563.47
4. Step 4: Simplify right side
   1,005.55x = 781,865.34
5. Step 5: Solve for x
   x = 781,865.34/1,005.55
6. Step 6: Final answer
   x = 777.55