Finding the Fourth Proportional to 2,124.55, 3,184.64 and 1,538.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,124.55 : 3,184.64 = 1,538.10 : x
2. Step 2: Convert to fraction form
   2,124.55/3,184.64 = 1,538.10/x
3. Step 3: Cross multiply
   2,124.55x = 3,184.64 × 1,538.10
4. Step 4: Simplify right side
   2,124.55x = 4,898,275.15
5. Step 5: Solve for x
   x = 4,898,275.15/2,124.55
6. Step 6: Final answer
   x = 2,305.56