Finding the Fourth Proportional to 2,385.84, 3,580.32 and 1,460.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,385.84 : 3,580.32 = 1,460.96 : x
2. Step 2: Convert to fraction form
   2,385.84/3,580.32 = 1,460.96/x
3. Step 3: Cross multiply
   2,385.84x = 3,580.32 × 1,460.96
4. Step 4: Simplify right side
   2,385.84x = 5,230,704.31
5. Step 5: Solve for x
   x = 5,230,704.31/2,385.84
6. Step 6: Final answer
   x = 2,192.40