Finding the Fourth Proportional to 1,069.67, 1,602.17 and 520.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,069.67 : 1,602.17 = 520.69 : x
2. Step 2: Convert to fraction form
   1,069.67/1,602.17 = 520.69/x
3. Step 3: Cross multiply
   1,069.67x = 1,602.17 × 520.69
4. Step 4: Simplify right side
   1,069.67x = 834,233.90
5. Step 5: Solve for x
   x = 834,233.90/1,069.67
6. Step 6: Final answer
   x = 779.90