Finding the Fourth Proportional to 1,185.57, 1,776.87 and 535.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.57 : 1,776.87 = 535.01 : x
2. Step 2: Convert to fraction form
   1,185.57/1,776.87 = 535.01/x
3. Step 3: Cross multiply
   1,185.57x = 1,776.87 × 535.01
4. Step 4: Simplify right side
   1,185.57x = 950,634.33
5. Step 5: Solve for x
   x = 950,634.33/1,185.57
6. Step 6: Final answer
   x = 801.84