Finding the Fourth Proportional to 1,371.60, 1,892.80 and 742.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,371.60 : 1,892.80 = 742.13 : x
2. Step 2: Convert to fraction form
   1,371.60/1,892.80 = 742.13/x
3. Step 3: Cross multiply
   1,371.60x = 1,892.80 × 742.13
4. Step 4: Simplify right side
   1,371.60x = 1,404,702.23
5. Step 5: Solve for x
   x = 1,404,702.23/1,371.60
6. Step 6: Final answer
   x = 1,024.13