Finding the Fourth Proportional to 1,090.56, 1,636.56 and 513.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,090.56 : 1,636.56 = 513.48 : x
2. Step 2: Convert to fraction form
   1,090.56/1,636.56 = 513.48/x
3. Step 3: Cross multiply
   1,090.56x = 1,636.56 × 513.48
4. Step 4: Simplify right side
   1,090.56x = 840,340.83
5. Step 5: Solve for x
   x = 840,340.83/1,090.56
6. Step 6: Final answer
   x = 770.56