Finding the Fourth Proportional to 1,009.83, 1,513.82 and 521.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.83 : 1,513.82 = 521.88 : x
2. Step 2: Convert to fraction form
   1,009.83/1,513.82 = 521.88/x
3. Step 3: Cross multiply
   1,009.83x = 1,513.82 × 521.88
4. Step 4: Simplify right side
   1,009.83x = 790,028.01
5. Step 5: Solve for x
   x = 790,028.01/1,009.83
6. Step 6: Final answer
   x = 782.33