Finding the Fourth Proportional to 1,191.49, 1,787.69 and 498.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.49 : 1,787.69 = 498.63 : x
2. Step 2: Convert to fraction form
   1,191.49/1,787.69 = 498.63/x
3. Step 3: Cross multiply
   1,191.49x = 1,787.69 × 498.63
4. Step 4: Simplify right side
   1,191.49x = 891,384.43
5. Step 5: Solve for x
   x = 891,384.43/1,191.49
6. Step 6: Final answer
   x = 748.13