Finding the Fourth Proportional to 1,114.86, 1,538.42 and 610.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.86 : 1,538.42 = 610.61 : x
2. Step 2: Convert to fraction form
   1,114.86/1,538.42 = 610.61/x
3. Step 3: Cross multiply
   1,114.86x = 1,538.42 × 610.61
4. Step 4: Simplify right side
   1,114.86x = 939,368.47
5. Step 5: Solve for x
   x = 939,368.47/1,114.86
6. Step 6: Final answer
   x = 842.59