Finding the Fourth Proportional to 1,187.88, 1,782.42 and 538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,187.88 : 1,782.42 = 538.50 : x
2. Step 2: Convert to fraction form
   1,187.88/1,782.42 = 538.50/x
3. Step 3: Cross multiply
   1,187.88x = 1,782.42 × 538.50
4. Step 4: Simplify right side
   1,187.88x = 959,833.17
5. Step 5: Solve for x
   x = 959,833.17/1,187.88
6. Step 6: Final answer
   x = 808.02