Finding the Fourth Proportional to 1,156.93, 1,736.38 and 464.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156.93 : 1,736.38 = 464.09 : x
2. Step 2: Convert to fraction form
   1,156.93/1,736.38 = 464.09/x
3. Step 3: Cross multiply
   1,156.93x = 1,736.38 × 464.09
4. Step 4: Simplify right side
   1,156.93x = 805,836.59
5. Step 5: Solve for x
   x = 805,836.59/1,156.93
6. Step 6: Final answer
   x = 696.53