Finding the Fourth Proportional to 1,007.27, 1,511.42 and 520.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.27 : 1,511.42 = 520.32 : x
2. Step 2: Convert to fraction form
   1,007.27/1,511.42 = 520.32/x
3. Step 3: Cross multiply
   1,007.27x = 1,511.42 × 520.32
4. Step 4: Simplify right side
   1,007.27x = 786,428.78
5. Step 5: Solve for x
   x = 786,428.78/1,007.27
6. Step 6: Final answer
   x = 780.75