Finding the Fourth Proportional to 1,185.64, 1,776.10 and 922.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.64 : 1,776.10 = 922.28 : x
2. Step 2: Convert to fraction form
   1,185.64/1,776.10 = 922.28/x
3. Step 3: Cross multiply
   1,185.64x = 1,776.10 × 922.28
4. Step 4: Simplify right side
   1,185.64x = 1,638,061.51
5. Step 5: Solve for x
   x = 1,638,061.51/1,185.64
6. Step 6: Final answer
   x = 1,381.58