Finding the Fourth Proportional to 2,457.60, 3,680.47 and 1,532.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457.60 : 3,680.47 = 1,532.00 : x
2. Step 2: Convert to fraction form
   2,457.60/3,680.47 = 1,532.00/x
3. Step 3: Cross multiply
   2,457.60x = 3,680.47 × 1,532.00
4. Step 4: Simplify right side
   2,457.60x = 5,638,453.98
5. Step 5: Solve for x
   x = 5,638,453.98/2,457.60
6. Step 6: Final answer
   x = 2,294.29