Finding the Fourth Proportional to 1,019.34, 1,527.69 and 916.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.34 : 1,527.69 = 916.59 : x
2. Step 2: Convert to fraction form
   1,019.34/1,527.69 = 916.59/x
3. Step 3: Cross multiply
   1,019.34x = 1,527.69 × 916.59
4. Step 4: Simplify right side
   1,019.34x = 1,400,265.38
5. Step 5: Solve for x
   x = 1,400,265.38/1,019.34
6. Step 6: Final answer
   x = 1,373.70