Finding the Fourth Proportional to 1,109.81, 1,656.78 and 1,071.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.81 : 1,656.78 = 1,071.34 : x
2. Step 2: Convert to fraction form
   1,109.81/1,656.78 = 1,071.34/x
3. Step 3: Cross multiply
   1,109.81x = 1,656.78 × 1,071.34
4. Step 4: Simplify right side
   1,109.81x = 1,774,974.69
5. Step 5: Solve for x
   x = 1,774,974.69/1,109.81
6. Step 6: Final answer
   x = 1,599.35