Finding the Fourth Proportional to 10,402.10, 15,588.56 and 5,461.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.10 : 15,588.56 = 5,461.75 : x
2. Step 2: Convert to fraction form
   10,402.10/15,588.56 = 5,461.75/x
3. Step 3: Cross multiply
   10,402.10x = 15,588.56 × 5,461.75
4. Step 4: Simplify right side
   10,402.10x = 85,140,817.58
5. Step 5: Solve for x
   x = 85,140,817.58/10,402.10
6. Step 6: Final answer
   x = 8,184.96