Finding the Fourth Proportional to 1,886.40, 2,602.91 and 1,178.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,886.40 : 2,602.91 = 1,178.12 : x
2. Step 2: Convert to fraction form
   1,886.40/2,602.91 = 1,178.12/x
3. Step 3: Cross multiply
   1,886.40x = 2,602.91 × 1,178.12
4. Step 4: Simplify right side
   1,886.40x = 3,066,540.33
5. Step 5: Solve for x
   x = 3,066,540.33/1,886.40
6. Step 6: Final answer
   x = 1,625.60