Finding the Fourth Proportional to 1,663.94, 2,495.82 and 509.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,663.94 : 2,495.82 = 509.69 : x
2. Step 2: Convert to fraction form
   1,663.94/2,495.82 = 509.69/x
3. Step 3: Cross multiply
   1,663.94x = 2,495.82 × 509.69
4. Step 4: Simplify right side
   1,663.94x = 1,272,094.50
5. Step 5: Solve for x
   x = 1,272,094.50/1,663.94
6. Step 6: Final answer
   x = 764.51