Finding the Fourth Proportional to 1,191.71, 1,787.57 and 498.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.71 : 1,787.57 = 498.00 : x
2. Step 2: Convert to fraction form
   1,191.71/1,787.57 = 498.00/x
3. Step 3: Cross multiply
   1,191.71x = 1,787.57 × 498.00
4. Step 4: Simplify right side
   1,191.71x = 890,213.08
5. Step 5: Solve for x
   x = 890,213.08/1,191.71
6. Step 6: Final answer
   x = 747.00