Finding the Fourth Proportional to 1,009.63, 1,513.62 and 522.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.63 : 1,513.62 = 522.82 : x
2. Step 2: Convert to fraction form
   1,009.63/1,513.62 = 522.82/x
3. Step 3: Cross multiply
   1,009.63x = 1,513.62 × 522.82
4. Step 4: Simplify right side
   1,009.63x = 791,350.81
5. Step 5: Solve for x
   x = 791,350.81/1,009.63
6. Step 6: Final answer
   x = 783.80