Finding the Fourth Proportional to 1,191.42, 1,787.28 and 498.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.42 : 1,787.28 = 498.56 : x
2. Step 2: Convert to fraction form
   1,191.42/1,787.28 = 498.56/x
3. Step 3: Cross multiply
   1,191.42x = 1,787.28 × 498.56
4. Step 4: Simplify right side
   1,191.42x = 891,070.79
5. Step 5: Solve for x
   x = 891,070.79/1,191.42
6. Step 6: Final answer
   x = 747.91