Finding the Fourth Proportional to 1,156.29, 1,735.27 and 463.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156.29 : 1,735.27 = 463.15 : x
2. Step 2: Convert to fraction form
   1,156.29/1,735.27 = 463.15/x
3. Step 3: Cross multiply
   1,156.29x = 1,735.27 × 463.15
4. Step 4: Simplify right side
   1,156.29x = 803,691.31
5. Step 5: Solve for x
   x = 803,691.31/1,156.29
6. Step 6: Final answer
   x = 695.06