Finding the Fourth Proportional to 1,090.50, 1,636.47 and 513.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,090.50 : 1,636.47 = 513.42 : x
2. Step 2: Convert to fraction form
   1,090.50/1,636.47 = 513.42/x
3. Step 3: Cross multiply
   1,090.50x = 1,636.47 × 513.42
4. Step 4: Simplify right side
   1,090.50x = 840,196.43
5. Step 5: Solve for x
   x = 840,196.43/1,090.50
6. Step 6: Final answer
   x = 770.47