Finding the Fourth Proportional to 1,191.34, 1,784.52 and 1,176.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.34 : 1,784.52 = 1,176.76 : x
2. Step 2: Convert to fraction form
   1,191.34/1,784.52 = 1,176.76/x
3. Step 3: Cross multiply
   1,191.34x = 1,784.52 × 1,176.76
4. Step 4: Simplify right side
   1,191.34x = 2,099,951.76
5. Step 5: Solve for x
   x = 2,099,951.76/1,191.34
6. Step 6: Final answer
   x = 1,762.68