Finding the Fourth Proportional to 1,153.86, 1,729.50 and 460.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.86 : 1,729.50 = 460.34 : x
2. Step 2: Convert to fraction form
   1,153.86/1,729.50 = 460.34/x
3. Step 3: Cross multiply
   1,153.86x = 1,729.50 × 460.34
4. Step 4: Simplify right side
   1,153.86x = 796,158.03
5. Step 5: Solve for x
   x = 796,158.03/1,153.86
6. Step 6: Final answer
   x = 690.00