Finding the Fourth Proportional to 10,037.92, 13,852.42 and 5,561.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,037.92 : 13,852.42 = 5,561.77 : x
2. Step 2: Convert to fraction form
   10,037.92/13,852.42 = 5,561.77/x
3. Step 3: Cross multiply
   10,037.92x = 13,852.42 × 5,561.77
4. Step 4: Simplify right side
   10,037.92x = 77,043,925.45
5. Step 5: Solve for x
   x = 77,043,925.45/10,037.92
6. Step 6: Final answer
   x = 7,675.29