Finding the Fourth Proportional to 1,131.57, 1,696.01 and 514.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,131.57 : 1,696.01 = 514.76 : x
2. Step 2: Convert to fraction form
   1,131.57/1,696.01 = 514.76/x
3. Step 3: Cross multiply
   1,131.57x = 1,696.01 × 514.76
4. Step 4: Simplify right side
   1,131.57x = 873,027.05
5. Step 5: Solve for x
   x = 873,027.05/1,131.57
6. Step 6: Final answer
   x = 771.52