Finding the Fourth Proportional to 1,784.96, 2,462.91 and 1,538.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,784.96 : 2,462.91 = 1,538.45 : x
2. Step 2: Convert to fraction form
   1,784.96/2,462.91 = 1,538.45/x
3. Step 3: Cross multiply
   1,784.96x = 2,462.91 × 1,538.45
4. Step 4: Simplify right side
   1,784.96x = 3,789,063.89
5. Step 5: Solve for x
   x = 3,789,063.89/1,784.96
6. Step 6: Final answer
   x = 2,122.77