Finding the Fourth Proportional to 1,156.48, 1,734.72 and 463.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156.48 : 1,734.72 = 463.10 : x
2. Step 2: Convert to fraction form
   1,156.48/1,734.72 = 463.10/x
3. Step 3: Cross multiply
   1,156.48x = 1,734.72 × 463.10
4. Step 4: Simplify right side
   1,156.48x = 803,348.83
5. Step 5: Solve for x
   x = 803,348.83/1,156.48
6. Step 6: Final answer
   x = 694.65