Finding the Fourth Proportional to 1,109.91, 1,530.89 and 778.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.91 : 1,530.89 = 778.41 : x
2. Step 2: Convert to fraction form
   1,109.91/1,530.89 = 778.41/x
3. Step 3: Cross multiply
   1,109.91x = 1,530.89 × 778.41
4. Step 4: Simplify right side
   1,109.91x = 1,191,656.19
5. Step 5: Solve for x
   x = 1,191,656.19/1,109.91
6. Step 6: Final answer
   x = 1,073.65