Finding the Fourth Proportional to 1,365.65, 1,883.21 and 1,116.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.65 : 1,883.21 = 1,116.17 : x
2. Step 2: Convert to fraction form
   1,365.65/1,883.21 = 1,116.17/x
3. Step 3: Cross multiply
   1,365.65x = 1,883.21 × 1,116.17
4. Step 4: Simplify right side
   1,365.65x = 2,101,967.51
5. Step 5: Solve for x
   x = 2,101,967.51/1,365.65
6. Step 6: Final answer
   x = 1,539.18