Finding the Fourth Proportional to 1,009.27, 1,513.90 and 521.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.27 : 1,513.90 = 521.98 : x
2. Step 2: Convert to fraction form
   1,009.27/1,513.90 = 521.98/x
3. Step 3: Cross multiply
   1,009.27x = 1,513.90 × 521.98
4. Step 4: Simplify right side
   1,009.27x = 790,222.39
5. Step 5: Solve for x
   x = 790,222.39/1,009.27
6. Step 6: Final answer
   x = 782.97