Finding the Fourth Proportional to 1,155.82, 1,734.76 and 463.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.82 : 1,734.76 = 463.86 : x
2. Step 2: Convert to fraction form
   1,155.82/1,734.76 = 463.86/x
3. Step 3: Cross multiply
   1,155.82x = 1,734.76 × 463.86
4. Step 4: Simplify right side
   1,155.82x = 804,685.77
5. Step 5: Solve for x
   x = 804,685.77/1,155.82
6. Step 6: Final answer
   x = 696.20