Finding the Fourth Proportional to 1,509.83, 2,265.71 and 816.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,509.83 : 2,265.71 = 816.98 : x
2. Step 2: Convert to fraction form
   1,509.83/2,265.71 = 816.98/x
3. Step 3: Cross multiply
   1,509.83x = 2,265.71 × 816.98
4. Step 4: Simplify right side
   1,509.83x = 1,851,024.34
5. Step 5: Solve for x
   x = 1,851,024.34/1,509.83
6. Step 6: Final answer
   x = 1,225.98