Finding the Fourth Proportional to 1,005.54, 1,507.86 and 355.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.54 : 1,507.86 = 355.98 : x
2. Step 2: Convert to fraction form
   1,005.54/1,507.86 = 355.98/x
3. Step 3: Cross multiply
   1,005.54x = 1,507.86 × 355.98
4. Step 4: Simplify right side
   1,005.54x = 536,768.00
5. Step 5: Solve for x
   x = 536,768.00/1,005.54
6. Step 6: Final answer
   x = 533.81