Finding the Fourth Proportional to 1,131.88, 1,696.16 and 514.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,131.88 : 1,696.16 = 514.06 : x
2. Step 2: Convert to fraction form
   1,131.88/1,696.16 = 514.06/x
3. Step 3: Cross multiply
   1,131.88x = 1,696.16 × 514.06
4. Step 4: Simplify right side
   1,131.88x = 871,928.01
5. Step 5: Solve for x
   x = 871,928.01/1,131.88
6. Step 6: Final answer
   x = 770.34