Finding the Fourth Proportional to 1,187.84, 1,782.72 and 504.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,187.84 : 1,782.72 = 504.32 : x
2. Step 2: Convert to fraction form
   1,187.84/1,782.72 = 504.32/x
3. Step 3: Cross multiply
   1,187.84x = 1,782.72 × 504.32
4. Step 4: Simplify right side
   1,187.84x = 899,061.35
5. Step 5: Solve for x
   x = 899,061.35/1,187.84
6. Step 6: Final answer
   x = 756.89