Finding the Fourth Proportional to 1,434.63, 2,152.15 and 460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,434.63 : 2,152.15 = 460.50 : x
2. Step 2: Convert to fraction form
   1,434.63/2,152.15 = 460.50/x
3. Step 3: Cross multiply
   1,434.63x = 2,152.15 × 460.50
4. Step 4: Simplify right side
   1,434.63x = 991,063.92
5. Step 5: Solve for x
   x = 991,063.92/1,434.63
6. Step 6: Final answer
   x = 690.82