Finding the Fourth Proportional to 7,538.95, 10,407.32 and 5,025.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,538.95 : 10,407.32 = 5,025.25 : x
2. Step 2: Convert to fraction form
   7,538.95/10,407.32 = 5,025.25/x
3. Step 3: Cross multiply
   7,538.95x = 10,407.32 × 5,025.25
4. Step 4: Simplify right side
   7,538.95x = 52,299,384.83
5. Step 5: Solve for x
   x = 52,299,384.83/7,538.95
6. Step 6: Final answer
   x = 6,937.22