Finding the Fourth Proportional to 1,063.82, 1,468.14 and 591.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,063.82 : 1,468.14 = 591.76 : x
2. Step 2: Convert to fraction form
   1,063.82/1,468.14 = 591.76/x
3. Step 3: Cross multiply
   1,063.82x = 1,468.14 × 591.76
4. Step 4: Simplify right side
   1,063.82x = 868,782.86
5. Step 5: Solve for x
   x = 868,782.86/1,063.82
6. Step 6: Final answer
   x = 816.67