Finding the Fourth Proportional to 1,086.09, 1,498.77 and 614.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.09 : 1,498.77 = 614.01 : x
2. Step 2: Convert to fraction form
   1,086.09/1,498.77 = 614.01/x
3. Step 3: Cross multiply
   1,086.09x = 1,498.77 × 614.01
4. Step 4: Simplify right side
   1,086.09x = 920,259.77
5. Step 5: Solve for x
   x = 920,259.77/1,086.09
6. Step 6: Final answer
   x = 847.31