Finding the Fourth Proportional to 1,111.33, 1,664.52 and 785.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.33 : 1,664.52 = 785.71 : x
2. Step 2: Convert to fraction form
   1,111.33/1,664.52 = 785.71/x
3. Step 3: Cross multiply
   1,111.33x = 1,664.52 × 785.71
4. Step 4: Simplify right side
   1,111.33x = 1,307,830.01
5. Step 5: Solve for x
   x = 1,307,830.01/1,111.33
6. Step 6: Final answer
   x = 1,176.82