Finding the Fourth Proportional to 1,191.72, 1,787.82 and 461.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.72 : 1,787.82 = 461.37 : x
2. Step 2: Convert to fraction form
   1,191.72/1,787.82 = 461.37/x
3. Step 3: Cross multiply
   1,191.72x = 1,787.82 × 461.37
4. Step 4: Simplify right side
   1,191.72x = 824,846.51
5. Step 5: Solve for x
   x = 824,846.51/1,191.72
6. Step 6: Final answer
   x = 692.15