Finding the Fourth Proportional to 13,870.10, 19,140.70 and 7,582.47

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870.10 : 19,140.70 = 7,582.47 : x
2. Step 2: Convert to fraction form
   13,870.10/19,140.70 = 7,582.47/x
3. Step 3: Cross multiply
   13,870.10x = 19,140.70 × 7,582.47
4. Step 4: Simplify right side
   13,870.10x = 145,133,783.53
5. Step 5: Solve for x
   x = 145,133,783.53/13,870.10
6. Step 6: Final answer
   x = 10,463.79