Finding the Fourth Proportional to 1,178.52, 1,763.34 and 733.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.52 : 1,763.34 = 733.86 : x
2. Step 2: Convert to fraction form
   1,178.52/1,763.34 = 733.86/x
3. Step 3: Cross multiply
   1,178.52x = 1,763.34 × 733.86
4. Step 4: Simplify right side
   1,178.52x = 1,294,044.69
5. Step 5: Solve for x
   x = 1,294,044.69/1,178.52
6. Step 6: Final answer
   x = 1,098.03