Finding the Fourth Proportional to 1,538.50, 2,296.37 and 1,430.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.50 : 2,296.37 = 1,430.14 : x
2. Step 2: Convert to fraction form
   1,538.50/2,296.37 = 1,430.14/x
3. Step 3: Cross multiply
   1,538.50x = 2,296.37 × 1,430.14
4. Step 4: Simplify right side
   1,538.50x = 3,284,130.59
5. Step 5: Solve for x
   x = 3,284,130.59/1,538.50
6. Step 6: Final answer
   x = 2,134.63