Finding the Fourth Proportional to 1,106.53, 1,527.17 and 714.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.53 : 1,527.17 = 714.69 : x
2. Step 2: Convert to fraction form
   1,106.53/1,527.17 = 714.69/x
3. Step 3: Cross multiply
   1,106.53x = 1,527.17 × 714.69
4. Step 4: Simplify right side
   1,106.53x = 1,091,449.55
5. Step 5: Solve for x
   x = 1,091,449.55/1,106.53
6. Step 6: Final answer
   x = 986.37