Finding the Fourth Proportional to 2,362.17, 3,538.13 and 1,538.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,362.17 : 3,538.13 = 1,538.00 : x
2. Step 2: Convert to fraction form
   2,362.17/3,538.13 = 1,538.00/x
3. Step 3: Cross multiply
   2,362.17x = 3,538.13 × 1,538.00
4. Step 4: Simplify right side
   2,362.17x = 5,441,618.56
5. Step 5: Solve for x
   x = 5,441,618.56/2,362.17
6. Step 6: Final answer
   x = 2,303.65