Finding the Fourth Proportional to 1,582.38, 2,372.43 and 760.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.38 : 2,372.43 = 760.02 : x
2. Step 2: Convert to fraction form
   1,582.38/2,372.43 = 760.02/x
3. Step 3: Cross multiply
   1,582.38x = 2,372.43 × 760.02
4. Step 4: Simplify right side
   1,582.38x = 1,803,094.25
5. Step 5: Solve for x
   x = 1,803,094.25/1,582.38
6. Step 6: Final answer
   x = 1,139.48