Finding the Fourth Proportional to 1,100.18, 1,516.85 and 785.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.18 : 1,516.85 = 785.82 : x
2. Step 2: Convert to fraction form
   1,100.18/1,516.85 = 785.82/x
3. Step 3: Cross multiply
   1,100.18x = 1,516.85 × 785.82
4. Step 4: Simplify right side
   1,100.18x = 1,191,971.07
5. Step 5: Solve for x
   x = 1,191,971.07/1,100.18
6. Step 6: Final answer
   x = 1,083.43