Finding the Fourth Proportional to 1,055.90, 1,584.71 and 748.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.90 : 1,584.71 = 748.05 : x
2. Step 2: Convert to fraction form
   1,055.90/1,584.71 = 748.05/x
3. Step 3: Cross multiply
   1,055.90x = 1,584.71 × 748.05
4. Step 4: Simplify right side
   1,055.90x = 1,185,442.32
5. Step 5: Solve for x
   x = 1,185,442.32/1,055.90
6. Step 6: Final answer
   x = 1,122.68