Finding the Fourth Proportional to 1,111.69, 1,534.14 and 614.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.69 : 1,534.14 = 614.32 : x
2. Step 2: Convert to fraction form
   1,111.69/1,534.14 = 614.32/x
3. Step 3: Cross multiply
   1,111.69x = 1,534.14 × 614.32
4. Step 4: Simplify right side
   1,111.69x = 942,452.88
5. Step 5: Solve for x
   x = 942,452.88/1,111.69
6. Step 6: Final answer
   x = 847.77