Finding the Fourth Proportional to 10,002.10, 13,803.18 and 5,465.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,002.10 : 13,803.18 = 5,465.08 : x
2. Step 2: Convert to fraction form
   10,002.10/13,803.18 = 5,465.08/x
3. Step 3: Cross multiply
   10,002.10x = 13,803.18 × 5,465.08
4. Step 4: Simplify right side
   10,002.10x = 75,435,482.95
5. Step 5: Solve for x
   x = 75,435,482.95/10,002.10
6. Step 6: Final answer
   x = 7,541.96