Finding the Fourth Proportional to 1,191.98, 1,776.31 and 1,152.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.98 : 1,776.31 = 1,152.80 : x
2. Step 2: Convert to fraction form
   1,191.98/1,776.31 = 1,152.80/x
3. Step 3: Cross multiply
   1,191.98x = 1,776.31 × 1,152.80
4. Step 4: Simplify right side
   1,191.98x = 2,047,731.55
5. Step 5: Solve for x
   x = 2,047,731.55/1,191.98
6. Step 6: Final answer
   x = 1,717.92