Finding the Fourth Proportional to 1,191.76, 1,788.27 and 614.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.76 : 1,788.27 = 614.50 : x
2. Step 2: Convert to fraction form
   1,191.76/1,788.27 = 614.50/x
3. Step 3: Cross multiply
   1,191.76x = 1,788.27 × 614.50
4. Step 4: Simplify right side
   1,191.76x = 1,098,891.92
5. Step 5: Solve for x
   x = 1,098,891.92/1,191.76
6. Step 6: Final answer
   x = 922.07