Finding the Fourth Proportional to 1,063.59, 1,467.77 and 591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,063.59 : 1,467.77 = 591.50 : x
2. Step 2: Convert to fraction form
   1,063.59/1,467.77 = 591.50/x
3. Step 3: Cross multiply
   1,063.59x = 1,467.77 × 591.50
4. Step 4: Simplify right side
   1,063.59x = 868,178.62
5. Step 5: Solve for x
   x = 868,178.62/1,063.59
6. Step 6: Final answer
   x = 816.27