Finding the Fourth Proportional to 13,870.13, 19,140.77 and 7,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870.13 : 19,140.77 = 7,582.50 : x
2. Step 2: Convert to fraction form
   13,870.13/19,140.77 = 7,582.50/x
3. Step 3: Cross multiply
   13,870.13x = 19,140.77 × 7,582.50
4. Step 4: Simplify right side
   13,870.13x = 145,134,907.48
5. Step 5: Solve for x
   x = 145,134,907.48/13,870.13
6. Step 6: Final answer
   x = 10,463.85