Finding the Fourth Proportional to 1,008.77, 1,513.59 and 522.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.77 : 1,513.59 = 522.16 : x
2. Step 2: Convert to fraction form
   1,008.77/1,513.59 = 522.16/x
3. Step 3: Cross multiply
   1,008.77x = 1,513.59 × 522.16
4. Step 4: Simplify right side
   1,008.77x = 790,336.15
5. Step 5: Solve for x
   x = 790,336.15/1,008.77
6. Step 6: Final answer
   x = 783.47