Finding the Fourth Proportional to 1,416.30, 1,953.53 and 855.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.30 : 1,953.53 = 855.80 : x
2. Step 2: Convert to fraction form
   1,416.30/1,953.53 = 855.80/x
3. Step 3: Cross multiply
   1,416.30x = 1,953.53 × 855.80
4. Step 4: Simplify right side
   1,416.30x = 1,671,827.46
5. Step 5: Solve for x
   x = 1,671,827.46/1,416.30
6. Step 6: Final answer
   x = 1,180.42