Finding the Fourth Proportional to 1,387.90, 1,914.06 and 1,092.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,387.90 : 1,914.06 = 1,092.64 : x
2. Step 2: Convert to fraction form
   1,387.90/1,914.06 = 1,092.64/x
3. Step 3: Cross multiply
   1,387.90x = 1,914.06 × 1,092.64
4. Step 4: Simplify right side
   1,387.90x = 2,091,378.52
5. Step 5: Solve for x
   x = 2,091,378.52/1,387.90
6. Step 6: Final answer
   x = 1,506.87