Finding the Fourth Proportional to 10,038.02, 13,852.49 and 5,561.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,038.02 : 13,852.49 = 5,561.96 : x
2. Step 2: Convert to fraction form
   10,038.02/13,852.49 = 5,561.96/x
3. Step 3: Cross multiply
   10,038.02x = 13,852.49 × 5,561.96
4. Step 4: Simplify right side
   10,038.02x = 77,046,898.21
5. Step 5: Solve for x
   x = 77,046,898.21/10,038.02
6. Step 6: Final answer
   x = 7,675.51