Finding the Fourth Proportional to 1,055.76, 1,457.46 and 702.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.76 : 1,457.46 = 702.27 : x
2. Step 2: Convert to fraction form
   1,055.76/1,457.46 = 702.27/x
3. Step 3: Cross multiply
   1,055.76x = 1,457.46 × 702.27
4. Step 4: Simplify right side
   1,055.76x = 1,023,538.53
5. Step 5: Solve for x
   x = 1,023,538.53/1,055.76
6. Step 6: Final answer
   x = 969.48