Finding the Fourth Proportional to 3,642.16, 5,461.90 and 1,301.53

Step by Step Solution

1. Step 1: Write the proportion equation
   3,642.16 : 5,461.90 = 1,301.53 : x
2. Step 2: Convert to fraction form
   3,642.16/5,461.90 = 1,301.53/x
3. Step 3: Cross multiply
   3,642.16x = 5,461.90 × 1,301.53
4. Step 4: Simplify right side
   3,642.16x = 7,108,830.47
5. Step 5: Solve for x
   x = 7,108,830.47/3,642.16
6. Step 6: Final answer
   x = 1,951.82