Finding the Fourth Proportional to 1,175.56, 1,762.18 and 405.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,175.56 : 1,762.18 = 405.52 : x
2. Step 2: Convert to fraction form
   1,175.56/1,762.18 = 405.52/x
3. Step 3: Cross multiply
   1,175.56x = 1,762.18 × 405.52
4. Step 4: Simplify right side
   1,175.56x = 714,599.23
5. Step 5: Solve for x
   x = 714,599.23/1,175.56
6. Step 6: Final answer
   x = 607.88