Finding the Fourth Proportional to 1,097.72, 1,646.78 and 520.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.72 : 1,646.78 = 520.59 : x
2. Step 2: Convert to fraction form
   1,097.72/1,646.78 = 520.59/x
3. Step 3: Cross multiply
   1,097.72x = 1,646.78 × 520.59
4. Step 4: Simplify right side
   1,097.72x = 857,303.70
5. Step 5: Solve for x
   x = 857,303.70/1,097.72
6. Step 6: Final answer
   x = 780.99