Finding the Fourth Proportional to 2,402.10, 3,606.80 and 1,530.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,402.10 : 3,606.80 = 1,530.14 : x
2. Step 2: Convert to fraction form
   2,402.10/3,606.80 = 1,530.14/x
3. Step 3: Cross multiply
   2,402.10x = 3,606.80 × 1,530.14
4. Step 4: Simplify right side
   2,402.10x = 5,518,883.27
5. Step 5: Solve for x
   x = 5,518,883.27/2,402.10
6. Step 6: Final answer
   x = 2,297.52