Finding the Fourth Proportional to 13,849.32, 19,111.80 and 7,561.74

Step by Step Solution

1. Step 1: Write the proportion equation
   13,849.32 : 19,111.80 = 7,561.74 : x
2. Step 2: Convert to fraction form
   13,849.32/19,111.80 = 7,561.74/x
3. Step 3: Cross multiply
   13,849.32x = 19,111.80 × 7,561.74
4. Step 4: Simplify right side
   13,849.32x = 144,518,462.53
5. Step 5: Solve for x
   x = 144,518,462.53/13,849.32
6. Step 6: Final answer
   x = 10,435.06