Finding the Fourth Proportional to 1,180.53, 1,769.61 and 521.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,180.53 : 1,769.61 = 521.82 : x
2. Step 2: Convert to fraction form
   1,180.53/1,769.61 = 521.82/x
3. Step 3: Cross multiply
   1,180.53x = 1,769.61 × 521.82
4. Step 4: Simplify right side
   1,180.53x = 923,417.89
5. Step 5: Solve for x
   x = 923,417.89/1,180.53
6. Step 6: Final answer
   x = 782.21