Finding the Fourth Proportional to 1,094.50, 1,642.16 and 517.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,094.50 : 1,642.16 = 517.42 : x
2. Step 2: Convert to fraction form
   1,094.50/1,642.16 = 517.42/x
3. Step 3: Cross multiply
   1,094.50x = 1,642.16 × 517.42
4. Step 4: Simplify right side
   1,094.50x = 849,686.43
5. Step 5: Solve for x
   x = 849,686.43/1,094.50
6. Step 6: Final answer
   x = 776.32