Finding the Fourth Proportional to 1,178.34, 1,766.52 and 520.11

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.34 : 1,766.52 = 520.11 : x
2. Step 2: Convert to fraction form
   1,178.34/1,766.52 = 520.11/x
3. Step 3: Cross multiply
   1,178.34x = 1,766.52 × 520.11
4. Step 4: Simplify right side
   1,178.34x = 918,784.72
5. Step 5: Solve for x
   x = 918,784.72/1,178.34
6. Step 6: Final answer
   x = 779.73