Finding the Fourth Proportional to 1,111.98, 1,534.50 and 614.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.98 : 1,534.50 = 614.61 : x
2. Step 2: Convert to fraction form
   1,111.98/1,534.50 = 614.61/x
3. Step 3: Cross multiply
   1,111.98x = 1,534.50 × 614.61
4. Step 4: Simplify right side
   1,111.98x = 943,119.05
5. Step 5: Solve for x
   x = 943,119.05/1,111.98
6. Step 6: Final answer
   x = 848.14