Finding the Fourth Proportional to 13,870.63, 19,141.53 and 7,583

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870.63 : 19,141.53 = 7,583 : x
2. Step 2: Convert to fraction form
   13,870.63/19,141.53 = 7,583/x
3. Step 3: Cross multiply
   13,870.63x = 19,141.53 × 7,583
4. Step 4: Simplify right side
   13,870.63x = 145,150,221.99
5. Step 5: Solve for x
   x = 145,150,221.99/13,870.63
6. Step 6: Final answer
   x = 10,464.58