Finding the Fourth Proportional to 1,185.02, 1,776.77 and 492.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.02 : 1,776.77 = 492.17 : x
2. Step 2: Convert to fraction form
   1,185.02/1,776.77 = 492.17/x
3. Step 3: Cross multiply
   1,185.02x = 1,776.77 × 492.17
4. Step 4: Simplify right side
   1,185.02x = 874,461.55
5. Step 5: Solve for x
   x = 874,461.55/1,185.02
6. Step 6: Final answer
   x = 737.93