Finding the Fourth Proportional to 2,526.56, 3,486.54 and 1,407.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,526.56 : 3,486.54 = 1,407.46 : x
2. Step 2: Convert to fraction form
   2,526.56/3,486.54 = 1,407.46/x
3. Step 3: Cross multiply
   2,526.56x = 3,486.54 × 1,407.46
4. Step 4: Simplify right side
   2,526.56x = 4,907,165.59
5. Step 5: Solve for x
   x = 4,907,165.59/2,526.56
6. Step 6: Final answer
   x = 1,942.23